3556411264 has 128 divisors (see below), whose sum is σ = 8499456000. Its totient is φ = 1450137600.

The previous prime is 3556411207. The next prime is 3556411267. The reversal of 3556411264 is 4621146553.

3556411264 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 (128).

It is a super-2 number, since 2×3556411264² = 25296122157412155392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3556411267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1693287 + ... + 1695385.

It is an arithmetic number, because the mean of its divisors is an integer number (66402000).

Almost surely, 2^3556411264 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 3556411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

3556411264 is an abundant number, since it is smaller than the sum of its proper divisors (4943044736).

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

3556411264 is a wasteful number, since it uses less digits than its factorization.

3556411264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2200 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 3556411264 is about 59635.6543017682. The cubic root of 3556411264 is about 1526.4080896219.

The spelling of 3556411264 in words is "three billion, five hundred fifty-six million, four hundred eleven thousand, two hundred sixty-four".