38064816 has 100 divisors (see below), whose sum is σ = 115050672. Its totient is φ = 12127104.

The previous prime is 38064799. The next prime is 38064827. The reversal of 38064816 is 61846083.

It is a happy number.

38064816 is a `hidden beast` number, since 3 + 8 + 0 + 648 + 1 + 6 = 666.

It is a super-3 number, since 3×38064816³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29170 + ... + 30446.

Almost surely, 2^38064816 is an apocalyptic number.

38064816 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 38064816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57525336).

38064816 is an abundant number, since it is smaller than the sum of its proper divisors (76985856).

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

38064816 is a wasteful number, since it uses less digits than its factorization.

38064816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38064816 is about 6169.6690348835. The cubic root of 38064816 is about 336.3885810484.

The spelling of 38064816 in words is "thirty-eight million, sixty-four thousand, eight hundred sixteen".