368358540 has 96 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 88281600.

The previous prime is 368358527. The next prime is 368358559. The reversal of 368358540 is 45853863.

It is a junction number, because it is equal to n+sod(n) for n = 368358492 and 368358501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55605 + ... + 61875.

It is an arithmetic number, because the mean of its divisors is an integer number (11854080).

Almost surely, 2^368358540 is an apocalyptic number.

368358540 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 368358540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568995840).

368358540 is an abundant number, since it is smaller than the sum of its proper divisors (769633140).

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

368358540 is a wasteful number, since it uses less digits than its factorization.

368358540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 368358540 is about 19192.6689128948. The cubic root of 368358540 is about 716.8422280067.

The spelling of 368358540 in words is "three hundred sixty-eight million, three hundred fifty-eight thousand, five hundred forty".