38836512 has 288 divisors, whose sum is σ = 138692736. Its totient is φ = 10137600.

The previous prime is 38836493. The next prime is 38836519. The reversal of 38836512 is 21563883.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38836512² = 3016549328652288, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38836519) 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, 947212 + ... + 947252.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 2^38836512 is an apocalyptic number.

38836512 is a gapful number since it is divisible by the number (32) 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 38836512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69346368).

38836512 is an abundant number, since it is smaller than the sum of its proper divisors (99856224).

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

38836512 is a wasteful number, since it uses less digits than its factorization.

38836512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38836512 is about 6231.8947359531. The cubic root of 38836512 is about 338.6466153283.

The spelling of 38836512 in words is "thirty-eight million, eight hundred thirty-six thousand, five hundred twelve".