38749135104 has 135 divisors (see below), whose sum is σ = 115627494367. Its totient is φ = 12906929664.

The previous prime is 38749135013. The next prime is 38749135109. The reversal of 38749135104 is 40153194783.

The square root of 38749135104 is 196848.

It is a perfect power (a square), and thus also a powerful number.

38749135104 is a `hidden beast` number, since 3 + 87 + 49 + 13 + 510 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38749135104.

It is not an unprimeable number, because it can be changed into a prime (38749135109) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28345429 + ... + 28346795.

Almost surely, 2^38749135104 is an apocalyptic number.

38749135104 is the 196848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38749135104

38749135104 is an abundant number, since it is smaller than the sum of its proper divisors (76878359263).

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

38749135104 is an frugal number, since it uses more digits than its factorization.

38749135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38749135104 in words is "thirty-eight billion, seven hundred forty-nine million, one hundred thirty-five thousand, one hundred four".