3752638848 has 128 divisors (see below), whose sum is σ = 12657792000. Its totient is φ = 1072175616.

The previous prime is 3752638819. The next prime is 3752638919. The reversal of 3752638848 is 8488362573.

3752638848 is a `hidden beast` number, since 3 + 7 + 526 + 38 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 3752638794 and 3752638803.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53368 + ... + 101751.

It is an arithmetic number, because the mean of its divisors is an integer number (98889000).

Almost surely, 2^3752638848 is an apocalyptic number.

It is an amenable number.

3752638848 is an abundant number, since it is smaller than the sum of its proper divisors (8905153152).

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

3752638848 is a wasteful number, since it uses less digits than its factorization.

3752638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155149 (or 155131 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 3752638848 is about 61258.7858841489. The cubic root of 3752638848 is about 1553.9805903868.

The spelling of 3752638848 in words is "three billion, seven hundred fifty-two million, six hundred thirty-eight thousand, eight hundred forty-eight".