368992680 has 256 divisors, whose sum is σ = 1343692800. Its totient is φ = 79242240.

The previous prime is 368992643. The next prime is 368992681. The reversal of 368992680 is 86299863.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (368992681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371586 + ... + 1371854.

It is an arithmetic number, because the mean of its divisors is an integer number (5248800).

Almost surely, 2^368992680 is an apocalyptic number.

368992680 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 368992680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671846400).

368992680 is an abundant number, since it is smaller than the sum of its proper divisors (974700120).

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

368992680 is a wasteful number, since it uses less digits than its factorization.

368992680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 368992680 is about 19209.1821793641. The cubic root of 368992680 is about 717.2533471327.

It can be divided in two parts, 3689 and 92680, that added together give a palindrome (96369).

The spelling of 368992680 in words is "three hundred sixty-eight million, nine hundred ninety-two thousand, six hundred eighty".