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3994260480 = 210325722961
BaseRepresentation
bin1110111000010011…
…1001010000000000
3101022100220110022100
43232010321100000
531140012313410
61500202510400
7200660440200
oct35604712000
911270813270
103994260480
11176a724021
12935805400
134b8692152
1429c69c400
151859de8c0
hexee139400

3994260480 has 792 divisors, whose sum is σ = 16927789320. Its totient is φ = 867041280.

The previous prime is 3994260469. The next prime is 3994260511. The reversal of 3994260480 is 840624993.

3994260480 is a `hidden beast` number, since 39 + 9 + 4 + 2 + 604 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 3990196224 = 2016^2 + 63168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65479650 + ... + 65479710.

Almost surely, 23994260480 is an apocalyptic number.

3994260480 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 3994260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463894660).

3994260480 is an abundant number, since it is smaller than the sum of its proper divisors (12933528840).

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

3994260480 is a wasteful number, since it uses less digits than its factorization.

3994260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3994260480 is about 63200.1620251088. The cubic root of 3994260480 is about 1586.6414451969.

The spelling of 3994260480 in words is "three billion, nine hundred ninety-four million, two hundred sixty thousand, four hundred eighty".