3697128864 has 216 divisors, whose sum is σ = 12446870436. Its totient is φ = 1034035200.

The previous prime is 3697128857. The next prime is 3697128871. The reversal of 3697128864 is 4688217963.

It is an interprime number because it is at equal distance from previous prime (3697128857) and next prime (3697128871).

It can be written as a sum of positive squares in 2 ways, for example, as 3450387600 + 246741264 = 58740^2 + 15708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3697128864.

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 35 ways as a sum of consecutive naturals, for example, 448944 + ... + 457104.

Almost surely, 2^3697128864 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 3697128864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223435218).

3697128864 is an abundant number, since it is smaller than the sum of its proper divisors (8749741572).

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

3697128864 is a wasteful number, since it uses less digits than its factorization.

3697128864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8190 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3697128864 is about 60804.0201302513. The cubic root of 3697128864 is about 1546.2802045072.

The spelling of 3697128864 in words is "three billion, six hundred ninety-seven million, one hundred twenty-eight thousand, eight hundred sixty-four".