3398766840 has 384 divisors, whose sum is σ = 13166899200. Its totient is φ = 744007680.

The previous prime is 3398766793. The next prime is 3398766851. The reversal of 3398766840 is 486678933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10858524 + ... + 10858836.

It is an arithmetic number, because the mean of its divisors is an integer number (34288800).

Almost surely, 2^3398766840 is an apocalyptic number.

3398766840 is a gapful number since it is divisible by the number (30) 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 3398766840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583449600).

3398766840 is an abundant number, since it is smaller than the sum of its proper divisors (9768132360).

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

3398766840 is a wasteful number, since it uses less digits than its factorization.

3398766840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3398766840 is about 58298.9437297109. The cubic root of 3398766840 is about 1503.5127804938.

The spelling of 3398766840 in words is "three billion, three hundred ninety-eight million, seven hundred sixty-six thousand, eight hundred forty".