368949980 has 192 divisors, whose sum is σ = 1016064000. Its totient is φ = 109486080.

The previous prime is 368949943. The next prime is 368949983. The reversal of 368949980 is 89949863.

It is a super-2 number, since 2×368949980² = 272248175484000800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368949983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1853921 + ... + 1854119.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^368949980 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 368949980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032000).

368949980 is an abundant number, since it is smaller than the sum of its proper divisors (647114020).

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

368949980 is a wasteful number, since it uses less digits than its factorization.

368949980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 56.

The square root of 368949980 is about 19208.0706995783. The cubic root of 368949980 is about 717.2256791047.

The spelling of 368949980 in words is "three hundred sixty-eight million, nine hundred forty-nine thousand, nine hundred eighty".