368983720 has 96 divisors (see below), whose sum is σ = 978393600. Its totient is φ = 124854912.

The previous prime is 368983717. The next prime is 368983729. The reversal of 368983720 is 27389863.

It is a super-2 number, since 2×368983720² = 272297971250076800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (368983729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153649 + ... + 156031.

It is an arithmetic number, because the mean of its divisors is an integer number (10191600).

Almost surely, 2^368983720 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 368983720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489196800).

368983720 is an abundant number, since it is smaller than the sum of its proper divisors (609409880).

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

368983720 is a wasteful number, since it uses less digits than its factorization.

368983720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2487 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The square root of 368983720 is about 19208.9489561506. The cubic root of 368983720 is about 717.2475415595.

The spelling of 368983720 in words is "three hundred sixty-eight million, nine hundred eighty-three thousand, seven hundred twenty".