368982900 has 432 divisors, whose sum is σ = 1410409728. Its totient is φ = 79488000.

The previous prime is 368982899. The next prime is 368982919. The reversal of 368982900 is 9289863.

368982900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368982900² = 272296760984820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

368982900 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6048870 + ... + 6048930.

Almost surely, 2^368982900 is an apocalyptic number.

368982900 is a gapful number since it is divisible by the number (30) 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 368982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705204864).

368982900 is an abundant number, since it is smaller than the sum of its proper divisors (1041426828).

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

368982900 is a wasteful number, since it uses less digits than its factorization.

368982900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 368982900 is about 19208.9276119205. The cubic root of 368982900 is about 717.2470102412.

The spelling of 368982900 in words is "three hundred sixty-eight million, nine hundred eighty-two thousand, nine hundred".