3209538960 has 60 divisors (see below), whose sum is σ = 10778704092. Its totient is φ = 855876864.

The previous prime is 3209538859. The next prime is 3209538977. The reversal of 3209538960 is 698359023.

3209538960 is a `hidden beast` number, since 3 + 20 + 9 + 538 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 931958784 + 2277580176 = 30528^2 + 47724^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3209538960² = 20602280671515763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2228127 + ... + 2229566.

Almost surely, 2^3209538960 is an apocalyptic number.

3209538960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3209538960 is an abundant number, since it is smaller than the sum of its proper divisors (7569165132).

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

3209538960 is a wasteful number, since it uses less digits than its factorization.

3209538960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457712 (or 4457703 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3209538960 is about 56652.7930467687. The cubic root of 3209538960 is about 1475.0753898075.

The spelling of 3209538960 in words is "three billion, two hundred nine million, five hundred thirty-eight thousand, nine hundred sixty".