38748561600 has 336 divisors, whose sum is σ = 149979416576. Its totient is φ = 8570880000.

The previous prime is 38748561589. The next prime is 38748561611. The reversal of 38748561600 is 616584783.

It is an interprime number because it is at equal distance from previous prime (38748561589) and next prime (38748561611).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38748561600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023000 + ... + 1060200.

Almost surely, 2^38748561600 is an apocalyptic number.

38748561600 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 38748561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74989708288).

38748561600 is an abundant number, since it is smaller than the sum of its proper divisors (111230854976).

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

38748561600 is a wasteful number, since it uses less digits than its factorization.

38748561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37264 (or 37249 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 38748561600 in words is "thirty-eight billion, seven hundred forty-eight million, five hundred sixty-one thousand, six hundred".