3395757760 has 112 divisors (see below), whose sum is σ = 8421148512. Its totient is φ = 1303142400.

The previous prime is 3395757751. The next prime is 3395757811. The reversal of 3395757760 is 677575933.

It is a junction number, because it is equal to n+sod(n) for n = 3395757698 and 3395757707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798199 + ... + 802441.

It is an arithmetic number, because the mean of its divisors is an integer number (75188826).

Almost surely, 2^3395757760 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 3395757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210574256).

3395757760 is an abundant number, since it is smaller than the sum of its proper divisors (5025390752).

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

3395757760 is a wasteful number, since it uses less digits than its factorization.

3395757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4352 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 52.

The square root of 3395757760 is about 58273.1306864493. The cubic root of 3395757760 is about 1503.0689404911.

The spelling of 3395757760 in words is "three billion, three hundred ninety-five million, seven hundred fifty-seven thousand, seven hundred sixty".