376704000 has 352 divisors, whose sum is σ = 1405060800. Its totient is φ = 99532800.

The previous prime is 376703989. The next prime is 376704001. The reversal of 376704000 is 407673.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376704001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455946 + ... + 3456054.

It is an arithmetic number, because the mean of its divisors is an integer number (3991650).

Almost surely, 2^376704000 is an apocalyptic number.

376704000 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 376704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702530400).

376704000 is an abundant number, since it is smaller than the sum of its proper divisors (1028356800).

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

376704000 is a wasteful number, since it uses less digits than its factorization.

376704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 376704000 is about 19408.8639543895. The cubic root of 376704000 is about 722.2153985768.

The spelling of 376704000 in words is "three hundred seventy-six million, seven hundred four thousand".