367825920 has 352 divisors, whose sum is σ = 1471481856. Its totient is φ = 76185600.

The previous prime is 367825877. The next prime is 367825951. The reversal of 367825920 is 29528763.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-3 number, since 3×367825920³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182565 + ... + 1182875.

Almost surely, 2^367825920 is an apocalyptic number.

367825920 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 367825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735740928).

367825920 is an abundant number, since it is smaller than the sum of its proper divisors (1103655936).

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

367825920 is a wasteful number, since it uses less digits than its factorization.

367825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 367825920 is about 19178.7882828921. The cubic root of 367825920 is about 716.4965605527.

The spelling of 367825920 in words is "three hundred sixty-seven million, eight hundred twenty-five thousand, nine hundred twenty".