368750400 has 168 divisors, whose sum is σ = 1281257280. Its totient is φ = 92528640.

The previous prime is 368750359. The next prime is 368750401. The reversal of 368750400 is 4057863.

368750400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368750401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79341 + ... + 83859.

Almost surely, 2^368750400 is an apocalyptic number.

368750400 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 368750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640628640).

368750400 is an abundant number, since it is smaller than the sum of its proper divisors (912506880).

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

368750400 is a wasteful number, since it uses less digits than its factorization.

368750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4546 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 368750400 is about 19202.8747847816. The cubic root of 368750400 is about 717.0963302974.

The spelling of 368750400 in words is "three hundred sixty-eight million, seven hundred fifty thousand, four hundred".