376848000 has 192 divisors, whose sum is σ = 1353872520. Its totient is φ = 100454400.

The previous prime is 376847963. The next prime is 376848019. The reversal of 376848000 is 848673.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 150405696 = 15048^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 142692 + ... + 145308.

Almost surely, 2^376848000 is an apocalyptic number.

376848000 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 376848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676936260).

376848000 is an abundant number, since it is smaller than the sum of its proper divisors (977024520).

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

376848000 is a wasteful number, since it uses less digits than its factorization.

376848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 376848000 is about 19412.5732451934. The cubic root of 376848000 is about 722.3074122609.

The spelling of 376848000 in words is "three hundred seventy-six million, eight hundred forty-eight thousand".