3309881598864 has 45 divisors (see below), whose sum is σ = 9263132517873. Its totient is φ = 1103286589056.

The previous prime is 3309881598847. The next prime is 3309881598883. The reversal of 3309881598864 is 4688951889033.

The square root of 3309881598864 is 1819308.

It is a perfect power (a square), and thus also a powerful number.

3309881598864 is a `hidden beast` number, since 330 + 9 + 8 + 8 + 159 + 88 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2255727640464 + 1054153958400 = 1501908^2 + 1026720^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3309881598792 and 3309881598801.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21755892 + ... + 21907500.

Almost surely, 2^{3309881598864} is an apocalyptic number.

3309881598864 is the 1819308-th square number.

It is an amenable number.

3309881598864 is an abundant number, since it is smaller than the sum of its proper divisors (5953250919009).

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

3309881598864 is an frugal number, since it uses more digits than its factorization.

3309881598864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303232 (or 151614 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 3309881598864 in words is "three trillion, three hundred nine billion, eight hundred eighty-one million, five hundred ninety-eight thousand, eight hundred sixty-four".