38768772 has 72 divisors (see below), whose sum is σ = 109891264. Its totient is φ = 10418688.

The previous prime is 38768753. The next prime is 38768791. The reversal of 38768772 is 27786783.

It is an interprime number because it is at equal distance from previous prime (38768753) and next prime (38768791).

It is a congruent number.

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, 23478 + ... + 25074.

Almost surely, 2^38768772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38768772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54945632).

38768772 is an abundant number, since it is smaller than the sum of its proper divisors (71122492).

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

38768772 is a wasteful number, since it uses less digits than its factorization.

38768772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1626 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 38768772 is about 6226.4574197532. The cubic root of 38768772 is about 338.4496076585.

The spelling of 38768772 in words is "thirty-eight million, seven hundred sixty-eight thousand, seven hundred seventy-two".