3440891664 has 560 divisors, whose sum is σ = 12607728768. Its totient is φ = 886837248.

The previous prime is 3440891603. The next prime is 3440891677. The reversal of 3440891664 is 4661980443.

3440891664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51356559 + ... + 51356625.

Almost surely, 2^3440891664 is an apocalyptic number.

3440891664 is a gapful number since it is divisible by the number (34) 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 3440891664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303864384).

3440891664 is an abundant number, since it is smaller than the sum of its proper divisors (9166837104).

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

3440891664 is a wasteful number, since it uses less digits than its factorization.

3440891664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3440891664 is about 58659.1140744556. The cubic root of 3440891664 is about 1509.6988806455.

The spelling of 3440891664 in words is "three billion, four hundred forty million, eight hundred ninety-one thousand, six hundred sixty-four".