370825344 has 128 divisors (see below), whose sum is σ = 1113024000. Its totient is φ = 121512960.

The previous prime is 370825321. The next prime is 370825387. The reversal of 370825344 is 443528073.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×370825344² = 275022871505436672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 370825299 and 370825308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209937 + ... + 211695.

It is an arithmetic number, because the mean of its divisors is an integer number (8695500).

Almost surely, 2^370825344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556512000).

370825344 is an abundant number, since it is smaller than the sum of its proper divisors (742198656).

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

370825344 is a wasteful number, since it uses less digits than its factorization.

370825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 370825344 is about 19256.8259066753. The cubic root of 370825344 is about 718.4388396387.

The spelling of 370825344 in words is "three hundred seventy million, eight hundred twenty-five thousand, three hundred forty-four".