377952000 has 288 divisors, whose sum is σ = 1306066944. Its totient is φ = 96768000.

The previous prime is 377951989. The next prime is 377952013. The reversal of 377952000 is 259773.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975937 + ... + 2976063.

Almost surely, 2^377952000 is an apocalyptic number.

377952000 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 377952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653033472).

377952000 is an abundant number, since it is smaller than the sum of its proper divisors (928114944).

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

377952000 is a wasteful number, since it uses less digits than its factorization.

377952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 377952000 is about 19440.9876292332. The cubic root of 377952000 is about 723.0120729759.

The spelling of 377952000 in words is "three hundred seventy-seven million, nine hundred fifty-two thousand".