370400400 has 180 divisors, whose sum is σ = 1327256320. Its totient is φ = 95558400.

The previous prime is 370400351. The next prime is 370400447. The reversal of 370400400 is 4004073.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 109941 + ... + 113259.

Almost surely, 2^370400400 is an apocalyptic number.

370400400 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 370400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663628160).

370400400 is an abundant number, since it is smaller than the sum of its proper divisors (956855920).

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

370400400 is a wasteful number, since it uses less digits than its factorization.

370400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 370400400 is about 19245.7891498374. The cubic root of 370400400 is about 718.1643052155.

Adding to 370400400 its reverse (4004073), we get a palindrome (374404473).

The spelling of 370400400 in words is "three hundred seventy million, four hundred thousand, four hundred".