368442564 has 288 divisors, whose sum is σ = 1158312960. Its totient is φ = 90316800.

The previous prime is 368442539. The next prime is 368442577. The reversal of 368442564 is 465244863.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8986384 + ... + 8986424.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2^368442564 is an apocalyptic number.

368442564 is a gapful number since it is divisible by the number (34) 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 368442564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

368442564 is an abundant number, since it is smaller than the sum of its proper divisors (789870396).

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

368442564 is a wasteful number, since it uses less digits than its factorization.

368442564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 130 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 368442564 is about 19194.8577488868. The cubic root of 368442564 is about 716.8967286863.

The spelling of 368442564 in words is "three hundred sixty-eight million, four hundred forty-two thousand, five hundred sixty-four".