372384000 has 288 divisors, whose sum is σ = 1377492480. Its totient is φ = 99072000.

The previous prime is 372383993. The next prime is 372384029. The reversal of 372384000 is 483273.

372384000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863785 + ... + 864215.

It is an arithmetic number, because the mean of its divisors is an integer number (4782960).

Almost surely, 2^372384000 is an apocalyptic number.

372384000 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 372384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688746240).

372384000 is an abundant number, since it is smaller than the sum of its proper divisors (1005108480).

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

372384000 is an equidigital number, since it uses as much as digits as its factorization.

372384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 372384000 is about 19297.2536906162. The cubic root of 372384000 is about 719.4440152229. Note that the first 3 decimals are identical.

The spelling of 372384000 in words is "three hundred seventy-two million, three hundred eighty-four thousand".