3652484640 has 384 divisors, whose sum is σ = 13855629312. Its totient is φ = 790732800.

The previous prime is 3652484623. The next prime is 3652484653. The reversal of 3652484640 is 464842563.

3652484640 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 3652484592 and 3652484601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11669124 + ... + 11669436.

It is an arithmetic number, because the mean of its divisors is an integer number (36082368).

Almost surely, 2^3652484640 is an apocalyptic number.

3652484640 is a gapful number since it is divisible by the number (30) 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 3652484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927814656).

3652484640 is an abundant number, since it is smaller than the sum of its proper divisors (10203144672).

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

3652484640 is a wasteful number, since it uses less digits than its factorization.

3652484640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 3652484640 is about 60435.7893966812. The cubic root of 3652484640 is about 1540.0310107884.

The spelling of 3652484640 in words is "three billion, six hundred fifty-two million, four hundred eighty-four thousand, six hundred forty".