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3989744640 = 210335721931
BaseRepresentation
bin1110110111001110…
…1010110000000000
3101022001102000202000
43231303222300000
531132333312030
61455522024000
7200604161400
oct35563526000
911261360660
103989744640
11176811a222
129341a8000
134b777085b
1429bc44800
151853eb860
hexedceac00

3989744640 has 1056 divisors, whose sum is σ = 17921894400. Its totient is φ = 836075520.

The previous prime is 3989744597. The next prime is 3989744641. The reversal of 3989744640 is 464479893.

It is a happy number.

3989744640 is a `hidden beast` number, since 3 + 98 + 97 + 4 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989744641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128701425 + ... + 128701455.

Almost surely, 23989744640 is an apocalyptic number.

3989744640 is a gapful number since it is divisible by the number (30) 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 3989744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960947200).

3989744640 is an abundant number, since it is smaller than the sum of its proper divisors (13932149760).

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

3989744640 is a wasteful number, since it uses less digits than its factorization.

3989744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3989744640 is about 63164.4254307755. The cubic root of 3989744640 is about 1586.0432768291.

The spelling of 3989744640 in words is "three billion, nine hundred eighty-nine million, seven hundred forty-four thousand, six hundred forty".