38768652 has 96 divisors (see below), whose sum is σ = 110496960. Its totient is φ = 11681280.

The previous prime is 38768651. The next prime is 38768677. The reversal of 38768652 is 25686783.

It is a junction number, because it is equal to n+sod(n) for n = 38768598 and 38768607.

It is not an unprimeable number, because it can be changed into a prime (38768651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74152 + ... + 74672.

It is an arithmetic number, because the mean of its divisors is an integer number (1151010).

Almost surely, 2^38768652 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 38768652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55248480).

38768652 is an abundant number, since it is smaller than the sum of its proper divisors (71728308).

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

38768652 is a wasteful number, since it uses less digits than its factorization.

38768652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

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

The square root of 38768652 is about 6226.4477834476. The cubic root of 38768652 is about 338.4492584600.

The spelling of 38768652 in words is "thirty-eight million, seven hundred sixty-eight thousand, six hundred fifty-two".