368391240 has 320 divisors, whose sum is σ = 1456646400. Its totient is φ = 81741312.

The previous prime is 368391229. The next prime is 368391251. The reversal of 368391240 is 42193863.

It is an interprime number because it is at equal distance from previous prime (368391229) and next prime (368391251).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 368391195 and 368391204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 838941 + ... + 839379.

It is an arithmetic number, because the mean of its divisors is an integer number (4552020).

Almost surely, 2^368391240 is an apocalyptic number.

368391240 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 368391240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728323200).

368391240 is an abundant number, since it is smaller than the sum of its proper divisors (1088255160).

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

368391240 is a wasteful number, since it uses less digits than its factorization.

368391240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 368391240 is about 19193.5207817638. The cubic root of 368391240 is about 716.8634392676.

The spelling of 368391240 in words is "three hundred sixty-eight million, three hundred ninety-one thousand, two hundred forty".