3487256864 has 72 divisors (see below), whose sum is σ = 8496411840. Its totient is φ = 1379559168.

The previous prime is 3487256837. The next prime is 3487256893. The reversal of 3487256864 is 4686527843.

It is a happy number.

3487256864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3487256864² = 24321920871030228992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8204 + ... + 83915.

It is an arithmetic number, because the mean of its divisors is an integer number (118005720).

Almost surely, 2^3487256864 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 3487256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248205920).

3487256864 is an abundant number, since it is smaller than the sum of its proper divisors (5009154976).

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

3487256864 is a wasteful number, since it uses less digits than its factorization.

3487256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92162 (or 92141 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 53.

The square root of 3487256864 is about 59053.0004656834. Note that the first 3 decimals coincide. The cubic root of 3487256864 is about 1516.4495943299.

The spelling of 3487256864 in words is "three billion, four hundred eighty-seven million, two hundred fifty-six thousand, eight hundred sixty-four".