368975640 has 256 divisors, whose sum is σ = 1274019840. Its totient is φ = 84672000.

The previous prime is 368975617. The next prime is 368975657. The reversal of 368975640 is 46579863.

It is a super-2 number, since 2×368975640² = 272286045826819200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 368975640.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2905257 + ... + 2905383.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^368975640 is an apocalyptic number.

368975640 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 368975640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637009920).

368975640 is an abundant number, since it is smaller than the sum of its proper divisors (905044200).

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

368975640 is a wasteful number, since it uses less digits than its factorization.

368975640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 368975640 is about 19208.7386363603. The cubic root of 368975640 is about 717.2423060960.

The spelling of 368975640 in words is "three hundred sixty-eight million, nine hundred seventy-five thousand, six hundred forty".