3615461632 has 72 divisors (see below), whose sum is σ = 7550012736. Its totient is φ = 1724676096.

The previous prime is 3615461617. The next prime is 3615461671. The reversal of 3615461632 is 2361645163.

3615461632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3615461591 and 3615461600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3985723 + ... + 3986629.

It is an arithmetic number, because the mean of its divisors is an integer number (104861288).

Almost surely, 2^3615461632 is an apocalyptic number.

3615461632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3615461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775006368).

3615461632 is an abundant number, since it is smaller than the sum of its proper divisors (3934551104).

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

3615461632 is an equidigital number, since it uses as much as digits as its factorization.

3615461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1609 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 3615461632 is about 60128.7088835275. The cubic root of 3615461632 is about 1534.8098781671.

The spelling of 3615461632 in words is "three billion, six hundred fifteen million, four hundred sixty-one thousand, six hundred thirty-two".