368961216 has 112 divisors (see below), whose sum is σ = 1097182464. Its totient is φ = 108573696.

The previous prime is 368961127. The next prime is 368961253. The reversal of 368961216 is 612169863.

It is a super-2 number, since 2×368961216² = 272264757824397312, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54195 + ... + 60621.

It is an arithmetic number, because the mean of its divisors is an integer number (9796272).

Almost surely, 2^368961216 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 368961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548591232).

368961216 is an abundant number, since it is smaller than the sum of its proper divisors (728221248).

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

368961216 is a wasteful number, since it uses less digits than its factorization.

368961216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6468 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 368961216 is about 19208.3631785741. The cubic root of 368961216 is about 717.2329598260.

The spelling of 368961216 in words is "three hundred sixty-eight million, nine hundred sixty-one thousand, two hundred sixteen".