368040960 has 396 divisors, whose sum is σ = 1492557768. Its totient is φ = 83607552.

The previous prime is 368040949. The next prime is 368040971. The reversal of 368040960 is 69040863.

It is an interprime number because it is at equal distance from previous prime (368040949) and next prime (368040971).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2257839 + ... + 2258001.

Almost surely, 2^368040960 is an apocalyptic number.

368040960 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 368040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746278884).

368040960 is an abundant number, since it is smaller than the sum of its proper divisors (1124516808).

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

368040960 is a wasteful number, since it uses less digits than its factorization.

368040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368040960 is about 19184.3936573455. The cubic root of 368040960 is about 716.6361604706.

The spelling of 368040960 in words is "three hundred sixty-eight million, forty thousand, nine hundred sixty".