3382399156900 has 81 divisors (see below), whose sum is σ = 7374812784073. Its totient is φ = 1346537420800.

The previous prime is 3382399156841. The next prime is 3382399156931. The reversal of 3382399156900 is 96519932833.

The square root of 3382399156900 is 1839130.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3029458605156 + 352940551744 = 1740534^2 + 594088^2 .

It is a super-4 number, since 4×3382399156900⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6492128640 + ... + 6492129160.

Almost surely, 2^{3382399156900} is an apocalyptic number.

3382399156900 is the 1839130-th square number.

It is an amenable number.

3382399156900 is an abundant number, since it is smaller than the sum of its proper divisors (3992413627173).

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

3382399156900 is an frugal number, since it uses more digits than its factorization.

3382399156900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 58.

The spelling of 3382399156900 in words is "three trillion, three hundred eighty-two billion, three hundred ninety-nine million, one hundred fifty-six thousand, nine hundred".