368539680 has 96 divisors (see below), whose sum is σ = 1169961408. Its totient is φ = 97510400.

The previous prime is 368539679. The next prime is 368539681. The reversal of 368539680 is 86935863.

368539680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (368539679) and next prime (368539681).

It is a tau number, because it is divible by the number of its divisors (96).

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 (368539681) 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, 59950 + ... + 65810.

It is an arithmetic number, because the mean of its divisors is an integer number (12187098).

Almost surely, 2^368539680 is an apocalyptic number.

368539680 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 368539680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584980704).

368539680 is an abundant number, since it is smaller than the sum of its proper divisors (801421728).

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

368539680 is a wasteful number, since it uses less digits than its factorization.

368539680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 368539680 is about 19197.3873222374. The cubic root of 368539680 is about 716.9597109376.

It can be divided in two parts, 3685 and 39680, that added together give a triangular number (43365 = T₂₉₄).

The spelling of 368539680 in words is "three hundred sixty-eight million, five hundred thirty-nine thousand, six hundred eighty".