368950680 has 256 divisors, whose sum is σ = 1444608000. Its totient is φ = 81990144.

The previous prime is 368950679. The next prime is 368950691. The reversal of 368950680 is 86059863.

368950680 is a `hidden beast` number, since 3 + 68 + 9 + 506 + 80 = 666.

It is a super-2 number, since 2×368950680² = 272249208544924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279061 + ... + 280379.

It is an arithmetic number, because the mean of its divisors is an integer number (5643000).

Almost surely, 2^368950680 is an apocalyptic number.

368950680 is a gapful number since it is divisible by the number (30) 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 368950680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722304000).

368950680 is an abundant number, since it is smaller than the sum of its proper divisors (1075657320).

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

368950680 is a wasteful number, since it uses less digits than its factorization.

368950680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 368950680 is about 19208.0889210770. The cubic root of 368950680 is about 717.2261326962.

The spelling of 368950680 in words is "three hundred sixty-eight million, nine hundred fifty thousand, six hundred eighty".