364289856 has 224 divisors, whose sum is σ = 1154826240. Its totient is φ = 99201024.

The previous prime is 364289837. The next prime is 364289867. The reversal of 364289856 is 658982463.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 364289799 and 364289808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4611225 + ... + 4611303.

Almost surely, 2^364289856 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 364289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577413120).

364289856 is an abundant number, since it is smaller than the sum of its proper divisors (790536384).

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

364289856 is a wasteful number, since it uses less digits than its factorization.

364289856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 364289856 is about 19086.3788079353. The cubic root of 364289856 is about 714.1931701208.

The spelling of 364289856 in words is "three hundred sixty-four million, two hundred eighty-nine thousand, eight hundred fifty-six".