364638120 has 512 divisors, whose sum is σ = 1504051200. Its totient is φ = 68428800.

The previous prime is 364638103. The next prime is 364638149. The reversal of 364638120 is 21836463.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 5442327 + ... + 5442393.

It is an arithmetic number, because the mean of its divisors is an integer number (2937600).

Almost surely, 2^364638120 is an apocalyptic number.

364638120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 19095×19096.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364638120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752025600).

364638120 is an abundant number, since it is smaller than the sum of its proper divisors (1139413080).

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

364638120 is a wasteful number, since it uses less digits than its factorization.

364638120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 364638120 is about 19095.4999934540. The cubic root of 364638120 is about 714.4206890834.

The spelling of 364638120 in words is "three hundred sixty-four million, six hundred thirty-eight thousand, one hundred twenty".