3439414272 has 264 divisors, whose sum is σ = 10844612976. Its totient is φ = 966131712.

The previous prime is 3439414261. The next prime is 3439414289. The reversal of 3439414272 is 2724149343.

It is a self number, because there is not a number n which added to its sum of digits gives 3439414272.

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, 10988388 + ... + 10988700.

Almost surely, 2^3439414272 is an apocalyptic number.

3439414272 is a gapful number since it is divisible by the number (32) 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 3439414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422306488).

3439414272 is an abundant number, since it is smaller than the sum of its proper divisors (7405198704).

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

3439414272 is a wasteful number, since it uses less digits than its factorization.

3439414272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 398 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 3439414272 is about 58646.5196921352. The cubic root of 3439414272 is about 1509.4827800372.

The spelling of 3439414272 in words is "three billion, four hundred thirty-nine million, four hundred fourteen thousand, two hundred seventy-two".