377832960 has 360 divisors, whose sum is σ = 1412034624. Its totient is φ = 93265920.

The previous prime is 377832941. The next prime is 377832979. The reversal of 377832960 is 69238773.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (377832941) and next prime (377832979).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12188145 + ... + 12188175.

Almost surely, 2^377832960 is an apocalyptic number.

377832960 is a gapful number since it is divisible by the number (30) 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 377832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706017312).

377832960 is an abundant number, since it is smaller than the sum of its proper divisors (1034201664).

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

377832960 is a wasteful number, since it uses less digits than its factorization.

377832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 377832960 is about 19437.9258152715. The cubic root of 377832960 is about 722.9361582260.

The spelling of 377832960 in words is "three hundred seventy-seven million, eight hundred thirty-two thousand, nine hundred sixty".