368349696 has 360 divisors, whose sum is σ = 1285002576. Its totient is φ = 100638720.

The previous prime is 368349671. The next prime is 368349731. The reversal of 368349696 is 696943863.

It is a happy number.

368349696 is a `hidden beast` number, since 3 + 68 + 3 + 496 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (5038848) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8566251 + ... + 8566293.

Almost surely, 2^368349696 is an apocalyptic number.

368349696 is a gapful number since it is divisible by the number (36) 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 368349696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642501288).

368349696 is an abundant number, since it is smaller than the sum of its proper divisors (916652880).

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

368349696 is a wasteful number, since it uses less digits than its factorization.

368349696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 368349696 is about 19192.4385110387. The cubic root of 368349696 is about 716.8364910207.

The spelling of 368349696 in words is "three hundred sixty-eight million, three hundred forty-nine thousand, six hundred ninety-six".