364096512 has 176 divisors, whose sum is σ = 1162368480. Its totient is φ = 111919104.

The previous prime is 364096511. The next prime is 364096517. The reversal of 364096512 is 215690463.

It is a happy number.

364096512 is a `hidden beast` number, since 3 + 640 + 9 + 6 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×364096512² = 265132540101132288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (364096511) 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, 358918 + ... + 359930.

Almost surely, 2^364096512 is an apocalyptic number.

364096512 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 364096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581184240).

364096512 is an abundant number, since it is smaller than the sum of its proper divisors (798271968).

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

364096512 is a wasteful number, since it uses less digits than its factorization.

364096512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 364096512 is about 19081.3131623586. The cubic root of 364096512 is about 714.0667969426.

The spelling of 364096512 in words is "three hundred sixty-four million, ninety-six thousand, five hundred twelve".