3638705148 has 108 divisors (see below), whose sum is σ = 10049796120. Its totient is φ = 1103507712.

The previous prime is 3638705141. The next prime is 3638705149. The reversal of 3638705148 is 8415078363.

3638705148 is a `hidden beast` number, since 3 + 63 + 8 + 70 + 514 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3638705141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2493243 + ... + 2494701.

Almost surely, 2^3638705148 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 3638705148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024898060).

3638705148 is an abundant number, since it is smaller than the sum of its proper divisors (6411090972).

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

3638705148 is a wasteful number, since it uses less digits than its factorization.

3638705148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3638705148 is about 60321.6805800369. The cubic root of 3638705148 is about 1538.0919118526.

The spelling of 3638705148 in words is "three billion, six hundred thirty-eight million, seven hundred five thousand, one hundred forty-eight".