3407260896 has 192 divisors, whose sum is σ = 10879928640. Its totient is φ = 1030993920.

The previous prime is 3407260891. The next prime is 3407260919. The reversal of 3407260896 is 6980627043.

3407260896 is a `hidden beast` number, since 34 + 0 + 7 + 2 + 608 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3407260891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682666 + ... + 687638.

It is an arithmetic number, because the mean of its divisors is an integer number (56666295).

Almost surely, 2^3407260896 is an apocalyptic number.

3407260896 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 3407260896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439964320).

3407260896 is an abundant number, since it is smaller than the sum of its proper divisors (7472667744).

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

3407260896 is a wasteful number, since it uses less digits than its factorization.

3407260896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3407260896 is about 58371.7474125968. The cubic root of 3407260896 is about 1504.7642439657.

The spelling of 3407260896 in words is "three billion, four hundred seven million, two hundred sixty thousand, eight hundred ninety-six".