3400968960 has 432 divisors, whose sum is σ = 12359168640. Its totient is φ = 862617600.

The previous prime is 3400968959. The next prime is 3400969001. The reversal of 3400968960 is 698690043.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 33672910 + ... + 33673010.

Almost surely, 2^3400968960 is an apocalyptic number.

3400968960 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 3400968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179584320).

3400968960 is an abundant number, since it is smaller than the sum of its proper divisors (8958199680).

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

3400968960 is a wasteful number, since it uses less digits than its factorization.

3400968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3400968960 is about 58317.8271200154. The cubic root of 3400968960 is about 1503.8374277272.

The spelling of 3400968960 in words is "three billion, four hundred million, nine hundred sixty-eight thousand, nine hundred sixty".