3398767960 has 128 divisors (see below), whose sum is σ = 9256965120. Its totient is φ = 1097851392.

The previous prime is 3398767949. The next prime is 3398767973. The reversal of 3398767960 is 697678933.

It is a junction number, because it is equal to n+sod(n) for n = 3398767895 and 3398767904.

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, 427542 + ... + 435418.

It is an arithmetic number, because the mean of its divisors is an integer number (72320040).

Almost surely, 2^3398767960 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 3398767960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628482560).

3398767960 is an abundant number, since it is smaller than the sum of its proper divisors (5858197160).

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

3398767960 is a wasteful number, since it uses less digits than its factorization.

3398767960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 58.

The square root of 3398767960 is about 58298.9533353730. The cubic root of 3398767960 is about 1503.5129456453.

The spelling of 3398767960 in words is "three billion, three hundred ninety-eight million, seven hundred sixty-seven thousand, nine hundred sixty".