374838400 has 96 divisors (see below), whose sum is σ = 948884580. Its totient is φ = 146227200.

The previous prime is 374838397. The next prime is 374838407. The reversal of 374838400 is 4838473.

It can be written as a sum of positive squares in 6 ways, for example, as 70963776 + 303874624 = 8424^2 + 17432^2 .

It is a super-2 number, since 2×374838400² = 281007652229120000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 374838400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374838407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129772 + ... + 132628.

Almost surely, 2^374838400 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 374838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474442290).

374838400 is an abundant number, since it is smaller than the sum of its proper divisors (574046180).

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

374838400 is a wasteful number, since it uses less digits than its factorization.

374838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 374838400 is about 19360.7437873652. The cubic root of 374838400 is about 721.0211847015.

The spelling of 374838400 in words is "three hundred seventy-four million, eight hundred thirty-eight thousand, four hundred".