339220645632 has 576 divisors, whose sum is σ = 1156245995520. Its totient is φ = 97135718400.

The previous prime is 339220645613. The next prime is 339220645639. The reversal of 339220645632 is 236546022933.

339220645632 is a `hidden beast` number, since 3 + 3 + 9 + 2 + 2 + 0 + 6 + 4 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339220645639) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101348983 + ... + 101352329.

It is an arithmetic number, because the mean of its divisors is an integer number (2007371520).

Almost surely, 2^339220645632 is an apocalyptic number.

339220645632 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 339220645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578122997760).

339220645632 is an abundant number, since it is smaller than the sum of its proper divisors (817025349888).

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

339220645632 is a wasteful number, since it uses less digits than its factorization.

339220645632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 339220645632 in words is "three hundred thirty-nine billion, two hundred twenty million, six hundred forty-five thousand, six hundred thirty-two".