368766720 has 432 divisors, whose sum is σ = 1549679040. Its totient is φ = 79036416.

The previous prime is 368766719. The next prime is 368766733. The reversal of 368766720 is 27667863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370746 + ... + 1371014.

It is an arithmetic number, because the mean of its divisors is an integer number (3587220).

Almost surely, 2^368766720 is an apocalyptic number.

368766720 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 368766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

368766720 is an abundant number, since it is smaller than the sum of its proper divisors (1180912320).

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

368766720 is a wasteful number, since it uses less digits than its factorization.

368766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 368766720 is about 19203.2997164550. The cubic root of 368766720 is about 717.1069091239.

It can be divided in two parts, 3687 and 66720, that added together give a palindrome (70407).

The spelling of 368766720 in words is "three hundred sixty-eight million, seven hundred sixty-six thousand, seven hundred twenty".