368117352 has 128 divisors (see below), whose sum is σ = 1057795200. Its totient is φ = 118540800.

The previous prime is 368117341. The next prime is 368117357. The reversal of 368117352 is 253711863.

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

It is not an unprimeable number, because it can be changed into a prime (368117357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1744527 + ... + 1744737.

It is an arithmetic number, because the mean of its divisors is an integer number (8264025).

Almost surely, 2^368117352 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 368117352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528897600).

368117352 is an abundant number, since it is smaller than the sum of its proper divisors (689677848).

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

368117352 is a wasteful number, since it uses less digits than its factorization.

368117352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 368117352 is about 19186.3845473815. The cubic root of 368117352 is about 716.6857396282.

The spelling of 368117352 in words is "three hundred sixty-eight million, one hundred seventeen thousand, three hundred fifty-two".