368245840 has 80 divisors (see below), whose sum is σ = 954313920. Its totient is φ = 131328000.

The previous prime is 368245819. The next prime is 368245841. The reversal of 368245840 is 48542863.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 368245793 and 368245802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368245841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18715 + ... + 32965.

It is an arithmetic number, because the mean of its divisors is an integer number (11928924).

Almost surely, 2^368245840 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 368245840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477156960).

368245840 is an abundant number, since it is smaller than the sum of its proper divisors (586068080).

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

368245840 is a wasteful number, since it uses less digits than its factorization.

368245840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14300 (or 14294 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 368245840 is about 19189.7326714053. The cubic root of 368245840 is about 716.7691141328.

The spelling of 368245840 in words is "three hundred sixty-eight million, two hundred forty-five thousand, eight hundred forty".