362880672 has 144 divisors (see below), whose sum is σ = 1208989152. Its totient is φ = 94241280.

The previous prime is 362880667. The next prime is 362880697. The reversal of 362880672 is 276088263.

It is a super-2 number, since 2×362880672² = 263364764222343168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 48238 + ... + 55250.

It is an arithmetic number, because the mean of its divisors is an integer number (8395758).

Almost surely, 2^362880672 is an apocalyptic number.

362880672 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 362880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604494576).

362880672 is an abundant number, since it is smaller than the sum of its proper divisors (846108480).

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

362880672 is a wasteful number, since it uses less digits than its factorization.

362880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 362880672 is about 19049.4270779990. The cubic root of 362880672 is about 713.2710746218.

The spelling of 362880672 in words is "three hundred sixty-two million, eight hundred eighty thousand, six hundred seventy-two".