3412974432 has 192 divisors, whose sum is σ = 10572871680. Its totient is φ = 943847424.

The previous prime is 3412974401. The next prime is 3412974449. The reversal of 3412974432 is 2344792143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2813058 + ... + 2814270.

It is an arithmetic number, because the mean of its divisors is an integer number (55067040).

Almost surely, 2^3412974432 is an apocalyptic number.

3412974432 is a gapful number since it is divisible by the number (32) 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 3412974432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286435840).

3412974432 is an abundant number, since it is smaller than the sum of its proper divisors (7159897248).

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

3412974432 is a wasteful number, since it uses less digits than its factorization.

3412974432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1357 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 3412974432 is about 58420.6678496575. The cubic root of 3412974432 is about 1505.6048726278.

The spelling of 3412974432 in words is "three billion, four hundred twelve million, nine hundred seventy-four thousand, four hundred thirty-two".