3432037782816 has 144 divisors (see below), whose sum is σ = 9845698262400. Its totient is φ = 1133988931584.

The previous prime is 3432037782763. The next prime is 3432037782829. The reversal of 3432037782816 is 6182877302343.

3432037782816 is a `hidden beast` number, since 3 + 4 + 320 + 37 + 7 + 8 + 281 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17167080 + ... + 17365848.

It is an arithmetic number, because the mean of its divisors is an integer number (68372904600).

Almost surely, 2^{3432037782816} is an apocalyptic number.

3432037782816 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 3432037782816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922849131200).

3432037782816 is an abundant number, since it is smaller than the sum of its proper divisors (6413660479584).

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

3432037782816 is a wasteful number, since it uses less digits than its factorization.

3432037782816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199311 (or 199300 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3432037782816 in words is "three trillion, four hundred thirty-two billion, thirty-seven million, seven hundred eighty-two thousand, eight hundred sixteen".