368597952 has 168 divisors, whose sum is σ = 1110026736. Its totient is φ = 121264128.

The previous prime is 368597941. The next prime is 368597953. The reversal of 368597952 is 259795863.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4082400) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368597953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130538 + ... + 2130710.

It is an arithmetic number, because the mean of its divisors is an integer number (6607302).

Almost surely, 2^368597952 is an apocalyptic number.

368597952 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 368597952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555013368).

368597952 is an abundant number, since it is smaller than the sum of its proper divisors (741428784).

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

368597952 is a wasteful number, since it uses less digits than its factorization.

368597952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 368597952 is about 19198.9049687736. The cubic root of 368597952 is about 716.9974965337.

The spelling of 368597952 in words is "three hundred sixty-eight million, five hundred ninety-seven thousand, nine hundred fifty-two".