3430662144 has 360 divisors, whose sum is σ = 11513013120. Its totient is φ = 889454592.

The previous prime is 3430662139. The next prime is 3430662217. The reversal of 3430662144 is 4412660343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58146787 + ... + 58146845.

It is an arithmetic number, because the mean of its divisors is an integer number (31980592).

Almost surely, 2^3430662144 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 3430662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5756506560).

3430662144 is an abundant number, since it is smaller than the sum of its proper divisors (8082350976).

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

3430662144 is an equidigital number, since it uses as much as digits as its factorization.

3430662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 3430662144 is about 58571.8545378239. The cubic root of 3430662144 is about 1508.2013207242.

The spelling of 3430662144 in words is "three billion, four hundred thirty million, six hundred sixty-two thousand, one hundred forty-four".