370382400 has 378 divisors, whose sum is σ = 1414131030. Its totient is φ = 91914240.

The previous prime is 370382387. The next prime is 370382401. The reversal of 370382400 is 4283073.

370382400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 57517056 + 312865344 = 7584^2 + 17688^2 .

It is not an unprimeable number, because it can be changed into a prime (370382401) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 4161556 + ... + 4161644.

Almost surely, 2^370382400 is an apocalyptic number.

370382400 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 370382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707065515).

370382400 is an abundant number, since it is smaller than the sum of its proper divisors (1043748630).

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

370382400 is a wasteful number, since it uses less digits than its factorization.

370382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 116 counting only the distinct ones).

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

The square root of 370382400 is about 19245.3215093955. The cubic root of 370382400 is about 718.1526717085.

The spelling of 370382400 in words is "three hundred seventy million, three hundred eighty-two thousand, four hundred".