3429954672 has 80 divisors (see below), whose sum is σ = 9287024640. Its totient is φ = 1088752896.

The previous prime is 3429954667. The next prime is 3429954679. The reversal of 3429954672 is 2764599243.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3429954679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246033 + ... + 259599.

It is an arithmetic number, because the mean of its divisors is an integer number (116087808).

Almost surely, 2^3429954672 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 3429954672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643512320).

3429954672 is an abundant number, since it is smaller than the sum of its proper divisors (5857069968).

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

3429954672 is a wasteful number, since it uses less digits than its factorization.

3429954672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13830 (or 13824 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 3429954672 is about 58565.8148752325. The cubic root of 3429954672 is about 1508.0976397131.

The spelling of 3429954672 in words is "three billion, four hundred twenty-nine million, nine hundred fifty-four thousand, six hundred seventy-two".