368982432 has 432 divisors, whose sum is σ = 1405615680. Its totient is φ = 92192256.

The previous prime is 368982431. The next prime is 368982443. The reversal of 368982432 is 234289863.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×368982432² = 272296070249269248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (368982431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19420119 + ... + 19420137.

It is an arithmetic number, because the mean of its divisors is an integer number (3253740).

Almost surely, 2^368982432 is an apocalyptic number.

368982432 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 368982432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702807840).

368982432 is an abundant number, since it is smaller than the sum of its proper divisors (1036633248).

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

368982432 is a wasteful number, since it uses less digits than its factorization.

368982432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 44 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 368982432 is about 19208.9154300809. The cubic root of 368982432 is about 717.2467070007.

The spelling of 368982432 in words is "three hundred sixty-eight million, nine hundred eighty-two thousand, four hundred thirty-two".