38762856 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 11051520.

The previous prime is 38762837. The next prime is 38762863. The reversal of 38762856 is 65826783.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12025 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^38762856 is an apocalyptic number.

38762856 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 38762856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

38762856 is an abundant number, since it is smaller than the sum of its proper divisors (82542744).

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

38762856 is a wasteful number, since it uses less digits than its factorization.

38762856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2912 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38762856 is about 6225.9823321304. The cubic root of 38762856 is about 338.4323913129.

The spelling of 38762856 in words is "thirty-eight million, seven hundred sixty-two thousand, eight hundred fifty-six".