368772040 has 192 divisors, whose sum is σ = 1067819760. Its totient is φ = 113541120.

The previous prime is 368772029. The next prime is 368772043. The reversal of 368772040 is 40277863.

It can be written as a sum of positive squares in 8 ways, for example, as 13147876 + 355624164 = 3626^2 + 18858^2 .

It is not an unprimeable number, because it can be changed into a prime (368772043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044504 + ... + 1044856.

Almost surely, 2^368772040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368772040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533909880).

368772040 is an abundant number, since it is smaller than the sum of its proper divisors (699047720).

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

368772040 is a wasteful number, since it uses less digits than its factorization.

368772040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 368772040 is about 19203.4382338164. The cubic root of 368772040 is about 717.1103575464.

The spelling of 368772040 in words is "three hundred sixty-eight million, seven hundred seventy-two thousand, forty".