362047968 has 120 divisors (see below), whose sum is σ = 1111250448. Its totient is φ = 115416576.

The previous prime is 362047951. The next prime is 362047981. The reversal of 362047968 is 869740263.

It is a super-2 number, since 2×362047968² = 262157462265858048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56580 + ... + 62652.

Almost surely, 2^362047968 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 362047968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555625224).

362047968 is an abundant number, since it is smaller than the sum of its proper divisors (749202480).

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

362047968 is a wasteful number, since it uses less digits than its factorization.

362047968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6118 (or 6101 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 362047968 is about 19027.5581197378. The cubic root of 362047968 is about 712.7250745991.

The spelling of 362047968 in words is "three hundred sixty-two million, forty-seven thousand, nine hundred sixty-eight".