368958912 has 112 divisors (see below), whose sum is σ = 1120883712. Its totient is φ = 104924160.

The previous prime is 368958911. The next prime is 368958913. The reversal of 368958912 is 219859863.

It is a happy number.

368958912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368958911) and next prime (368958913).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×368958912² = 272261357488447488, which contains 22 as substring.

Its product of digits (933120) is a multiple of the sum of its prime divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368958911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363718 + ... + 364730.

Almost surely, 2^368958912 is an apocalyptic number.

368958912 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 368958912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560441856).

368958912 is an abundant number, since it is smaller than the sum of its proper divisors (751924800).

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

368958912 is a wasteful number, since it uses less digits than its factorization.

368958912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1296 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 368958912 is about 19208.3032046040. The cubic root of 368958912 is about 717.2314668884.

The spelling of 368958912 in words is "three hundred sixty-eight million, nine hundred fifty-eight thousand, nine hundred twelve".