3649915632 has 240 divisors, whose sum is σ = 10971797760. Its totient is φ = 1042652160.

The previous prime is 3649915631. The next prime is 3649915667. The reversal of 3649915632 is 2365199463.

3649915632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649915631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11888823 + ... + 11889129.

It is an arithmetic number, because the mean of its divisors is an integer number (45715824).

Almost surely, 2^3649915632 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 3649915632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3649915632 is an abundant number, since it is smaller than the sum of its proper divisors (7321882128).

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

3649915632 is a wasteful number, since it uses less digits than its factorization.

3649915632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 3649915632 is about 60414.5316294019. The cubic root of 3649915632 is about 1539.6698612041.

The spelling of 3649915632 in words is "three billion, six hundred forty-nine million, nine hundred fifteen thousand, six hundred thirty-two".