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3988841472 = 210327211273
BaseRepresentation
bin1110110111000000…
…1110010000000000
3101021222201010211100
43231300032100000
531132120411342
61455450414400
7200563410300
oct35560162000
911258633740
103988841472
111767662700
12933a31400
134b7515735
1429ba8b600
151852bde4c
hexedc0e400

3988841472 has 594 divisors, whose sum is σ = 14928611334. Its totient is φ = 1021870080.

The previous prime is 3988841471. The next prime is 3988841477. The reversal of 3988841472 is 2741488893.

It is a happy number.

3988841472 is a `hidden beast` number, since 3 + 98 + 8 + 84 + 1 + 472 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3497066496 + 491774976 = 59136^2 + 22176^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3096576) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3988841471) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 54641628 + ... + 54641700.

Almost surely, 23988841472 is an apocalyptic number.

3988841472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464305667).

3988841472 is an abundant number, since it is smaller than the sum of its proper divisors (10939769862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3988841472 is a wasteful number, since it uses less digits than its factorization.

3988841472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 96 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3988841472 is about 63157.2756853872. The cubic root of 3988841472 is about 1585.9235889989.

The spelling of 3988841472 in words is "three billion, nine hundred eighty-eight million, eight hundred forty-one thousand, four hundred seventy-two".