368852400 has 720 divisors, whose sum is σ = 1656456480. Its totient is φ = 77414400.

The previous prime is 368852347. The next prime is 368852413. The reversal of 368852400 is 4258863.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8996380 + ... + 8996420.

It is an arithmetic number, because the mean of its divisors is an integer number (2300634).

Almost surely, 2^368852400 is an apocalyptic number.

368852400 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 368852400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828228240).

368852400 is an abundant number, since it is smaller than the sum of its proper divisors (1287604080).

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

368852400 is a wasteful number, since it uses less digits than its factorization.

368852400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 368852400 is about 19205.5304534918. The cubic root of 368852400 is about 717.1624428428.

The spelling of 368852400 in words is "three hundred sixty-eight million, eight hundred fifty-two thousand, four hundred".