38769600 has 168 divisors, whose sum is σ = 130960368. Its totient is φ = 10035200.

The previous prime is 38769529. The next prime is 38769611. The reversal of 38769600 is 696783.

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, 196702 + ... + 196898.

It is an arithmetic number, because the mean of its divisors is an integer number (779526).

Almost surely, 2^38769600 is an apocalyptic number.

38769600 is a gapful number since it is divisible by the number (30) 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 38769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65480184).

38769600 is an abundant number, since it is smaller than the sum of its proper divisors (92190768).

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

38769600 is a wasteful number, since it uses less digits than its factorization.

38769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 38769600 is about 6226.5239098553. The cubic root of 38769600 is about 338.4520171087.

The spelling of 38769600 in words is "thirty-eight million, seven hundred sixty-nine thousand, six hundred".