368691840 has 432 divisors, whose sum is σ = 1462889610. Its totient is φ = 85493760.

The previous prime is 368691839. The next prime is 368691857. The reversal of 368691840 is 48196863.

It can be written as a sum of positive squares in only one way, i.e., 331822656 + 36869184 = 18216^2 + 6072^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16030069 + ... + 16030091.

Almost surely, 2^368691840 is an apocalyptic number.

368691840 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 368691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731444805).

368691840 is an abundant number, since it is smaller than the sum of its proper divisors (1094197770).

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

368691840 is a wasteful number, since it uses less digits than its factorization.

368691840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 368691840 is about 19201.3499525424. The cubic root of 368691840 is about 717.0583684094.

The spelling of 368691840 in words is "three hundred sixty-eight million, six hundred ninety-one thousand, eight hundred forty".