3439414656 has 128 divisors (see below), whose sum is σ = 10685520000. Its totient is φ = 1086110208.

The previous prime is 3439414639. The next prime is 3439414663. The reversal of 3439414656 is 6564149343.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39475 + ... + 91853.

It is an arithmetic number, because the mean of its divisors is an integer number (83480625).

Almost surely, 2^3439414656 is an apocalyptic number.

3439414656 is a gapful number since it is divisible by the number (36) 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 3439414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342760000).

3439414656 is an abundant number, since it is smaller than the sum of its proper divisors (7246105344).

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

3439414656 is a wasteful number, since it uses less digits than its factorization.

3439414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52421 (or 52403 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3439414656 is about 58646.5229659867. The cubic root of 3439414656 is about 1509.4828362136.

The spelling of 3439414656 in words is "three billion, four hundred thirty-nine million, four hundred fourteen thousand, six hundred fifty-six".