3430791644 has 48 divisors (see below), whose sum is σ = 7063896000. Its totient is φ = 1457261568.

The previous prime is 3430791587. The next prime is 3430791653. The reversal of 3430791644 is 4461970343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143972 + ... + 166100.

It is an arithmetic number, because the mean of its divisors is an integer number (147164500).

Almost surely, 2^3430791644 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 3430791644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531948000).

3430791644 is an abundant number, since it is smaller than the sum of its proper divisors (3633104356).

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

3430791644 is a wasteful number, since it uses less digits than its factorization.

3430791644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22267 (or 22251 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

The square root of 3430791644 is about 58572.9600071569. The cubic root of 3430791644 is about 1508.2202975869.

The spelling of 3430791644 in words is "three billion, four hundred thirty million, seven hundred ninety-one thousand, six hundred forty-four".