3522608640 has 240 divisors, whose sum is σ = 12463184448. Its totient is φ = 919093248.

The previous prime is 3522608599. The next prime is 3522608653. The reversal of 3522608640 is 468062253.

3522608640 is a `hidden beast` number, since 3 + 5 + 2 + 2 + 6 + 0 + 8 + 640 = 666.

3522608640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3522608595 and 3522608604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081254 + ... + 1084506.

Almost surely, 2^3522608640 is an apocalyptic number.

3522608640 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 3522608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231592224).

3522608640 is an abundant number, since it is smaller than the sum of its proper divisors (8940575808).

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

3522608640 is a wasteful number, since it uses less digits than its factorization.

3522608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3522608640 is about 59351.5681342962. The cubic root of 3522608640 is about 1521.5566693138.

The spelling of 3522608640 in words is "three billion, five hundred twenty-two million, six hundred eight thousand, six hundred forty".