3395705280 has 672 divisors, whose sum is σ = 13076066304. Its totient is φ = 743424000.

The previous prime is 3395705279. The next prime is 3395705371. The reversal of 3395705280 is 825075933.

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, 82822060 + ... + 82822100.

It is an arithmetic number, because the mean of its divisors is an integer number (19458432).

Almost surely, 2^3395705280 is an apocalyptic number.

3395705280 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 3395705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538033152).

3395705280 is an abundant number, since it is smaller than the sum of its proper divisors (9680361024).

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

3395705280 is a wasteful number, since it uses less digits than its factorization.

3395705280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 3395705280 is about 58272.6803914150. The cubic root of 3395705280 is about 1503.0611973529.

The spelling of 3395705280 in words is "three billion, three hundred ninety-five million, seven hundred five thousand, two hundred eighty".