38748755700 has 252 divisors, whose sum is σ = 126452575788. Its totient is φ = 10301644800.

The previous prime is 38748755693. The next prime is 38748755701. The reversal of 38748755700 is 755784783.

38748755700 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 87 + 557 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 240188004 + 38508567696 = 15498^2 + 196236^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38748755701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 33606324 + ... + 33607476.

Almost surely, 2^38748755700 is an apocalyptic number.

38748755700 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 38748755700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226287894).

38748755700 is an abundant number, since it is smaller than the sum of its proper divisors (87703820088).

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

38748755700 is a wasteful number, since it uses less digits than its factorization.

38748755700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 54.

The spelling of 38748755700 in words is "thirty-eight billion, seven hundred forty-eight million, seven hundred fifty-five thousand, seven hundred".