364253136 has 120 divisors (see below), whose sum is σ = 1033121376. Its totient is φ = 110522880.

The previous prime is 364253119. The next prime is 364253171. The reversal of 364253136 is 631352463.

It is a junction number, because it is equal to n+sod(n) for n = 364253097 and 364253106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673026 + ... + 673566.

Almost surely, 2^364253136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364253136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516560688).

364253136 is an abundant number, since it is smaller than the sum of its proper divisors (668868240).

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

364253136 is a wasteful number, since it uses less digits than its factorization.

364253136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

The square root of 364253136 is about 19085.4168411382. The cubic root of 364253136 is about 714.1691726968.

The spelling of 364253136 in words is "three hundred sixty-four million, two hundred fifty-three thousand, one hundred thirty-six".