3528322560 has 480 divisors, whose sum is σ = 14156093952. Its totient is φ = 795525120.

The previous prime is 3528322549. The next prime is 3528322573. The reversal of 3528322560 is 652238253.

3528322560 is a `hidden beast` number, since 352 + 83 + 225 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21127597 + ... + 21127763.

Almost surely, 2^3528322560 is an apocalyptic number.

3528322560 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 3528322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078046976).

3528322560 is an abundant number, since it is smaller than the sum of its proper divisors (10627771392).

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

3528322560 is a wasteful number, since it uses less digits than its factorization.

3528322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3528322560 is about 59399.6848476488. The cubic root of 3528322560 is about 1522.3789156861.

The spelling of 3528322560 in words is "three billion, five hundred twenty-eight million, three hundred twenty-two thousand, five hundred sixty".