368495760 has 80 divisors (see below), whose sum is σ = 1179210240. Its totient is φ = 95093760.

The previous prime is 368495759. The next prime is 368495761. The reversal of 368495760 is 67594863.

It is an interprime number because it is at equal distance from previous prime (368495759) and next prime (368495761).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (368495761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17325 + ... + 32204.

It is an arithmetic number, because the mean of its divisors is an integer number (14740128).

Almost surely, 2^368495760 is an apocalyptic number.

368495760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368495760 is an abundant number, since it is smaller than the sum of its proper divisors (810714480).

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

368495760 is a wasteful number, since it uses less digits than its factorization.

368495760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49576 (or 49570 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 368495760 is about 19196.2433824954. The cubic root of 368495760 is about 716.9312290461.

The spelling of 368495760 in words is "three hundred sixty-eight million, four hundred ninety-five thousand, seven hundred sixty".