3209012928 has 252 divisors, whose sum is σ = 10366074264. Its totient is φ = 947865600.

The previous prime is 3209012897. The next prime is 3209012971. The reversal of 3209012928 is 8292109023.

3209012928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3209012928² = 20595527944142266368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3209012892 and 3209012901.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2856975 + ... + 2858097.

Almost surely, 2^3209012928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3209012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183037132).

3209012928 is an abundant number, since it is smaller than the sum of its proper divisors (7157061336).

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

3209012928 is a wasteful number, since it uses less digits than its factorization.

3209012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3209012928 is about 56648.1502610632. The cubic root of 3209012928 is about 1474.9947988709.

The spelling of 3209012928 in words is "three billion, two hundred nine million, twelve thousand, nine hundred twenty-eight".