38735712 has 96 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 12760704.

The previous prime is 38735681. The next prime is 38735717. The reversal of 38735712 is 21753783.

38735712 is a `hidden beast` number, since 3 + 87 + 3 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38735717) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92239 + ... + 92657.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 2^38735712 is an apocalyptic number.

38735712 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 38735712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

38735712 is an abundant number, since it is smaller than the sum of its proper divisors (75571488).

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

38735712 is a wasteful number, since it uses less digits than its factorization.

38735712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 38735712 is about 6223.8020534075. The cubic root of 38735712 is about 338.3533762032.

The spelling of 38735712 in words is "thirty-eight million, seven hundred thirty-five thousand, seven hundred twelve".