368639040 has 224 divisors, whose sum is σ = 1459528704. Its totient is φ = 76584960.

The previous prime is 368639027. The next prime is 368639053. The reversal of 368639040 is 40936863.

It is an interprime number because it is at equal distance from previous prime (368639027) and next prime (368639053).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 368639040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71427 + ... + 76413.

Almost surely, 2^368639040 is an apocalyptic number.

368639040 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 368639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729764352).

368639040 is an abundant number, since it is smaller than the sum of its proper divisors (1090889664).

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

368639040 is a wasteful number, since it uses less digits than its factorization.

368639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 368639040 is about 19199.9749999837. The cubic root of 368639040 is about 717.0241370313.

The spelling of 368639040 in words is "three hundred sixty-eight million, six hundred thirty-nine thousand, forty".