368476416 has 432 divisors, whose sum is σ = 1387696128. Its totient is φ = 91238400.

The previous prime is 368476397. The next prime is 368476421. The reversal of 368476416 is 614674863.

It is a happy number.

368476416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5499615 + ... + 5499681.

Almost surely, 2^368476416 is an apocalyptic number.

368476416 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 368476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693848064).

368476416 is an abundant number, since it is smaller than the sum of its proper divisors (1019219712).

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

368476416 is a wasteful number, since it uses less digits than its factorization.

368476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 368476416 is about 19195.7395273014. The cubic root of 368476416 is about 716.9186838449.

The spelling of 368476416 in words is "three hundred sixty-eight million, four hundred seventy-six thousand, four hundred sixteen".