363982956100 has 27 divisors (see below), whose sum is σ = 789856106781. Its totient is φ = 145590769200.

The previous prime is 363982956097. The next prime is 363982956101. The reversal of 363982956100 is 1659289363.

The square root of 363982956100 is 603310.

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

It can be written as a sum of positive squares in only one way, i.e., 131033864196 + 232949091904 = 361986^2 + 482648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363982956101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6002935 + ... + 6063265.

Almost surely, 2^363982956100 is an apocalyptic number.

363982956100 is the 603310-th square number.

It is an amenable number.

363982956100 is an abundant number, since it is smaller than the sum of its proper divisors (425873150681).

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

363982956100 is an frugal number, since it uses more digits than its factorization.

363982956100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120676 (or 60338 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 363982956100 in words is "three hundred sixty-three billion, nine hundred eighty-two million, nine hundred fifty-six thousand, one hundred".