38476368 has 240 divisors, whose sum is σ = 135408000. Its totient is φ = 10160640.

The previous prime is 38476367. The next prime is 38476369. The reversal of 38476368 is 86367483.

38476368 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 636 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (38476367) and next prime (38476369).

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

Its product of digits (580608) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38476367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938428 + ... + 938468.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^38476368 is an apocalyptic number.

38476368 is a gapful number since it is divisible by the number (38) 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 38476368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704000).

38476368 is an abundant number, since it is smaller than the sum of its proper divisors (96931632).

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

38476368 is a wasteful number, since it uses less digits than its factorization.

38476368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

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

The square root of 38476368 is about 6202.9322098504. The cubic root of 38476368 is about 337.5965682512.

The spelling of 38476368 in words is "thirty-eight million, four hundred seventy-six thousand, three hundred sixty-eight".