376728000 has 224 divisors, whose sum is σ = 1357993728. Its totient is φ = 91264000.

The previous prime is 376727999. The next prime is 376728013. The reversal of 376728000 is 827673.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263287 + ... + 264713.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2^376728000 is an apocalyptic number.

376728000 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 376728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678996864).

376728000 is an abundant number, since it is smaller than the sum of its proper divisors (981265728).

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

376728000 is a wasteful number, since it uses less digits than its factorization.

376728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 376728000 is about 19409.4822187507. The cubic root of 376728000 is about 722.2307358190.

The spelling of 376728000 in words is "three hundred seventy-six million, seven hundred twenty-eight thousand".