3631749696 has 231 divisors, whose sum is σ = 11170029603. Its totient is φ = 1171532160.

The previous prime is 3631749683. The next prime is 3631749707. The reversal of 3631749696 is 6969471363.

The square root of 3631749696 is 60264.

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

3631749696 is a `hidden beast` number, since 3 + 63 + 1 + 7 + 496 + 96 = 666.

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

Its product of digits (4408992) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 117153201 + ... + 117153231.

Almost surely, 2^3631749696 is an apocalyptic number.

3631749696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3631749696 is the 60264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3631749696

3631749696 is an abundant number, since it is smaller than the sum of its proper divisors (7538279907).

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

3631749696 is an frugal number, since it uses more digits than its factorization.

3631749696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The cubic root of 3631749696 is about 1537.1112563877. Note that the first 3 decimals are identical.

The spelling of 3631749696 in words is "three billion, six hundred thirty-one million, seven hundred forty-nine thousand, six hundred ninety-six".