368336640 has 288 divisors, whose sum is σ = 1370428416. Its totient is φ = 82575360.

The previous prime is 368336621. The next prime is 368336659. The reversal of 368336640 is 46633863.

It is an interprime number because it is at equal distance from previous prime (368336621) and next prime (368336659).

It is a congruent number.

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, 1908384 + ... + 1908576.

It is an arithmetic number, because the mean of its divisors is an integer number (4758432).

Almost surely, 2^368336640 is an apocalyptic number.

368336640 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 368336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685214208).

368336640 is an abundant number, since it is smaller than the sum of its proper divisors (1002091776).

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

368336640 is a wasteful number, since it uses less digits than its factorization.

368336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 368336640 is about 19192.0983740705. The cubic root of 368336640 is about 716.8280215980.

The spelling of 368336640 in words is "three hundred sixty-eight million, three hundred thirty-six thousand, six hundred forty".