374330400 has 144 divisors (see below), whose sum is σ = 1282730400. Its totient is φ = 94556160.

The previous prime is 374330399. The next prime is 374330413. The reversal of 374330400 is 4033473.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 41496 + ... + 49704.

It is an arithmetic number, because the mean of its divisors is an integer number (8907850).

Almost surely, 2^374330400 is an apocalyptic number.

374330400 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 374330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641365200).

374330400 is an abundant number, since it is smaller than the sum of its proper divisors (908400000).

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

374330400 is a wasteful number, since it uses less digits than its factorization.

374330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 24.

The square root of 374330400 is about 19347.6200086729. The cubic root of 374330400 is about 720.6953159600.

Adding to 374330400 its reverse (4033473), we get a palindrome (378363873).

It can be divided in two parts, 3743 and 30400, that added together give a palindrome (34143).

The spelling of 374330400 in words is "three hundred seventy-four million, three hundred thirty thousand, four hundred".