3521166264 has 288 divisors, whose sum is σ = 12402739440. Its totient is φ = 891878400.

The previous prime is 3521166239. The next prime is 3521166287. The reversal of 3521166264 is 4626611253.

3521166264 is a `hidden beast` number, since 3 + 5 + 21 + 1 + 6 + 626 + 4 = 666.

It is a super-2 number, since 2×3521166264² = 24797223717463435392, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1590022 + ... + 1592234.

Almost surely, 2^3521166264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3521166264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201369720).

3521166264 is an abundant number, since it is smaller than the sum of its proper divisors (8881573176).

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

3521166264 is a wasteful number, since it uses less digits than its factorization.

3521166264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2277 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3521166264 is about 59339.4157706326. The cubic root of 3521166264 is about 1521.3489675168.

It can be divided in two parts, 35211 and 66264, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 3521166264 in words is "three billion, five hundred twenty-one million, one hundred sixty-six thousand, two hundred sixty-four".