3629580516 has 45 divisors (see below), whose sum is σ = 9491276179. Its totient is φ = 1209498696.

The previous prime is 3629580509. The next prime is 3629580517. The reversal of 3629580516 is 6150859263.

The square root of 3629580516 is 60246.

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

3629580516 is a `hidden beast` number, since 3 + 62 + 9 + 580 + 5 + 1 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3629580517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1082755 + ... + 1086101.

Almost surely, 2^3629580516 is an apocalyptic number.

3629580516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3629580516 is the 60246-th square number.

It is an amenable number.

3629580516 is an abundant number, since it is smaller than the sum of its proper divisors (5861695663).

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

3629580516 is an frugal number, since it uses more digits than its factorization.

3629580516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6710 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The cubic root of 3629580516 is about 1536.8051656299.

The spelling of 3629580516 in words is "three billion, six hundred twenty-nine million, five hundred eighty thousand, five hundred sixteen".