3432706368 has 504 divisors, whose sum is σ = 12208776192. Its totient is φ = 845365248.

The previous prime is 3432706337. The next prime is 3432706379. The reversal of 3432706368 is 8636072343.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27029121 + ... + 27029247.

Almost surely, 2^3432706368 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 3432706368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6104388096).

3432706368 is an abundant number, since it is smaller than the sum of its proper divisors (8776069824).

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

3432706368 is a wasteful number, since it uses less digits than its factorization.

3432706368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The square root of 3432706368 is about 58589.3025048088. The cubic root of 3432706368 is about 1508.5008245357.

The spelling of 3432706368 in words is "three billion, four hundred thirty-two million, seven hundred six thousand, three hundred sixty-eight".