361877472 has 72 divisors (see below), whose sum is σ = 1122652440. Its totient is φ = 109658880.

The previous prime is 361877459. The next prime is 361877489. The reversal of 361877472 is 274778163.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×361877472² = 261910609482221568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53947 + ... + 60282.

It is an arithmetic number, because the mean of its divisors is an integer number (15592395).

Almost surely, 2^361877472 is an apocalyptic number.

361877472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

361877472 is an abundant number, since it is smaller than the sum of its proper divisors (760774968).

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

361877472 is a wasteful number, since it uses less digits than its factorization.

361877472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114256 (or 114245 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The square root of 361877472 is about 19023.0773535724. The cubic root of 361877472 is about 712.6131779584.

The spelling of 361877472 in words is "three hundred sixty-one million, eight hundred seventy-seven thousand, four hundred seventy-two".