3526517952 has 224 divisors, whose sum is σ = 11211763200. Its totient is φ = 1083165696.

The previous prime is 3526517887. The next prime is 3526517963. The reversal of 3526517952 is 2597156253.

3526517952 is a `hidden beast` number, since 3 + 526 + 5 + 1 + 79 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3526517898 and 3526517907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1213333 + ... + 1216235.

Almost surely, 2^3526517952 is an apocalyptic number.

3526517952 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 3526517952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605881600).

3526517952 is an abundant number, since it is smaller than the sum of its proper divisors (7685245248).

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

3526517952 is a wasteful number, since it uses less digits than its factorization.

3526517952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2964 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 3526517952 is about 59384.4925211961. The cubic root of 3526517952 is about 1522.1193243706.

The spelling of 3526517952 in words is "three billion, five hundred twenty-six million, five hundred seventeen thousand, nine hundred fifty-two".