3347406972 has 300 divisors, whose sum is σ = 11027133656. Its totient is φ = 880165440.

The previous prime is 3347406971. The next prime is 3347407009. The reversal of 3347406972 is 2796047433.

It is a super-2 number, since 2×3347406972² = 22410266872388417568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3347406971) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 10112847 + ... + 10113177.

Almost surely, 2^3347406972 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 3347406972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513566828).

3347406972 is an abundant number, since it is smaller than the sum of its proper divisors (7679726684).

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

3347406972 is a wasteful number, since it uses less digits than its factorization.

3347406972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3347406972 is about 57856.7798274325. The cubic root of 3347406972 is about 1495.9009527445.

The spelling of 3347406972 in words is "three billion, three hundred forty-seven million, four hundred six thousand, nine hundred seventy-two".