3538149768 has 64 divisors (see below), whose sum is σ = 9863092800. Its totient is φ = 1175195520.

The previous prime is 3538149767. The next prime is 3538149773. The reversal of 3538149768 is 8679418353.

3538149768 is a `hidden beast` number, since 3 + 538 + 1 + 49 + 7 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3538149767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32188 + ... + 90068.

It is an arithmetic number, because the mean of its divisors is an integer number (154110825).

Almost surely, 2^3538149768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3538149768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931546400).

3538149768 is an abundant number, since it is smaller than the sum of its proper divisors (6324943032).

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

3538149768 is a wasteful number, since it uses less digits than its factorization.

3538149768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58179 (or 58169 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3538149768 is about 59482.3483732779. The cubic root of 3538149768 is about 1523.7909999213.

The spelling of 3538149768 in words is "three billion, five hundred thirty-eight million, one hundred forty-nine thousand, seven hundred sixty-eight".