3432074976 has 360 divisors, whose sum is σ = 11484994752. Its totient is φ = 1003622400.

The previous prime is 3432074953. The next prime is 3432075061. The reversal of 3432074976 is 6794702343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9722416 + ... + 9722768.

Almost surely, 2^3432074976 is an apocalyptic number.

3432074976 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 3432074976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742497376).

3432074976 is an abundant number, since it is smaller than the sum of its proper divisors (8052919776).

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

3432074976 is a wasteful number, since it uses less digits than its factorization.

3432074976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3432074976 is about 58583.9139696214. The cubic root of 3432074976 is about 1508.4083305817.

The spelling of 3432074976 in words is "three billion, four hundred thirty-two million, seventy-four thousand, nine hundred seventy-six".