3412735872 has 256 divisors, whose sum is σ = 11259494400. Its totient is φ = 891813888.

The previous prime is 3412735813. The next prime is 3412735891. The reversal of 3412735872 is 2785372143.

It is a happy number.

It is a super-2 number, since 2×3412735872² = 23293532264071200768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4437504 + ... + 4438272.

It is an arithmetic number, because the mean of its divisors is an integer number (43982400).

Almost surely, 2^3412735872 is an apocalyptic number.

3412735872 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 3412735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629747200).

3412735872 is an abundant number, since it is smaller than the sum of its proper divisors (7846758528).

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

3412735872 is a wasteful number, since it uses less digits than its factorization.

3412735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 921 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 3412735872 is about 58418.6260708004. The cubic root of 3412735872 is about 1505.5697922334.

The spelling of 3412735872 in words is "three billion, four hundred twelve million, seven hundred thirty-five thousand, eight hundred seventy-two".