368919936 has 192 divisors, whose sum is σ = 1323878400. Its totient is φ = 95800320.

The previous prime is 368919899. The next prime is 368920021. The reversal of 368919936 is 639919863.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×368919936² = 272203838356488192, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86625 + ... + 90783.

It is an arithmetic number, because the mean of its divisors is an integer number (6895200).

Almost surely, 2^368919936 is an apocalyptic number.

368919936 is a gapful number since it is divisible by the number (36) 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 368919936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661939200).

368919936 is an abundant number, since it is smaller than the sum of its proper divisors (954958464).

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

368919936 is a wasteful number, since it uses less digits than its factorization.

368919936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4182 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 368919936 is about 19207.2886165643. The cubic root of 368919936 is about 717.2062104194.

The spelling of 368919936 in words is "three hundred sixty-eight million, nine hundred nineteen thousand, nine hundred thirty-six".