3561509952 has 896 divisors, whose sum is σ = 14747443200. Its totient is φ = 812851200.

The previous prime is 3561509947. The next prime is 3561509983. The reversal of 3561509952 is 2599051653.

3561509952 is a `hidden beast` number, since 3 + 56 + 1 + 509 + 95 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3561509898 and 3561509907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50162077 + ... + 50162147.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^3561509952 is an apocalyptic number.

3561509952 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 3561509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

3561509952 is an abundant number, since it is smaller than the sum of its proper divisors (11185933248).

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

3561509952 is a wasteful number, since it uses less digits than its factorization.

3561509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 3561509952 is about 59678.3876457801. The cubic root of 3561509952 is about 1527.1371918686.

The spelling of 3561509952 in words is "three billion, five hundred sixty-one million, five hundred nine thousand, nine hundred fifty-two".