370828800 has 480 divisors, whose sum is σ = 1446112800. Its totient is φ = 92897280.

The previous prime is 370828753. The next prime is 370828807. The reversal of 370828800 is 8828073.

370828800 is a `hidden beast` number, since 370 + 8 + 288 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (370828807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10022382 + ... + 10022418.

It is an arithmetic number, because the mean of its divisors is an integer number (3012735).

Almost surely, 2^370828800 is an apocalyptic number.

370828800 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 370828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723056400).

370828800 is an abundant number, since it is smaller than the sum of its proper divisors (1075284000).

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

370828800 is a wasteful number, since it uses less digits than its factorization.

370828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 370828800 is about 19256.9156408808. The cubic root of 370828800 is about 718.4410715222.

The spelling of 370828800 in words is "three hundred seventy million, eight hundred twenty-eight thousand, eight hundred".