3398907456 has 336 divisors, whose sum is σ = 11685593088. Its totient is φ = 924134400.

The previous prime is 3398907439. The next prime is 3398907509. The reversal of 3398907456 is 6547098933.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8874241 + ... + 8874623.

Almost surely, 2^3398907456 is an apocalyptic number.

3398907456 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 3398907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842796544).

3398907456 is an abundant number, since it is smaller than the sum of its proper divisors (8286685632).

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

3398907456 is a wasteful number, since it uses less digits than its factorization.

3398907456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3398907456 is about 58300.1497082126. The cubic root of 3398907456 is about 1503.5335149785.

The spelling of 3398907456 in words is "three billion, three hundred ninety-eight million, nine hundred seven thousand, four hundred fifty-six".