368947872 has 144 divisors (see below), whose sum is σ = 1152470592. Its totient is φ = 115706880.

The previous prime is 368947837. The next prime is 368947897. The reversal of 368947872 is 278749863.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×368947872² = 272245064506656768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130797 + ... + 133587.

It is an arithmetic number, because the mean of its divisors is an integer number (8003268).

Almost surely, 2^368947872 is an apocalyptic number.

368947872 is a gapful number since it is divisible by the number (32) 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 368947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576235296).

368947872 is an abundant number, since it is smaller than the sum of its proper divisors (783522720).

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

368947872 is a wasteful number, since it uses less digits than its factorization.

368947872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2813 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 368947872 is about 19208.0158267323. The cubic root of 368947872 is about 717.2243131430.

The spelling of 368947872 in words is "three hundred sixty-eight million, nine hundred forty-seven thousand, eight hundred seventy-two".