3432614434704 has 840 divisors, whose sum is σ = 12990481978560. Its totient is φ = 857591774208.

The previous prime is 3432614434699. The next prime is 3432614434727. The reversal of 3432614434704 is 4074344162343.

3432614434704 is a `hidden beast` number, since 3 + 4 + 3 + 261 + 44 + 347 + 0 + 4 = 666.

It is a super-2 number, since 2×3432614434704² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3432614434704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 262165182 + ... + 262178274.

Almost surely, 2^{3432614434704} 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 3432614434704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495240989280).

3432614434704 is an abundant number, since it is smaller than the sum of its proper divisors (9557867543856).

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

3432614434704 is a wasteful number, since it uses less digits than its factorization.

3432614434704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13171 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 45.

The spelling of 3432614434704 in words is "three trillion, four hundred thirty-two billion, six hundred fourteen million, four hundred thirty-four thousand, seven hundred four".