3281976576 has 144 divisors (see below), whose sum is σ = 9735980800. Its totient is φ = 1090547712.

The previous prime is 3281976563. The next prime is 3281976587. The reversal of 3281976576 is 6756791823.

3281976576 is a `hidden beast` number, since 328 + 197 + 65 + 76 = 666.

3281976576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3158265 + ... + 3159303.

Almost surely, 2^3281976576 is an apocalyptic number.

3281976576 is a gapful number since it is divisible by the number (36) 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 3281976576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867990400).

3281976576 is an abundant number, since it is smaller than the sum of its proper divisors (6454004224).

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

3281976576 is a wasteful number, since it uses less digits than its factorization.

3281976576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1501 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The square root of 3281976576 is about 57288.5379111738. The cubic root of 3281976576 is about 1486.0901616462.

The spelling of 3281976576 in words is "three billion, two hundred eighty-one million, nine hundred seventy-six thousand, five hundred seventy-six".