3403308960 has 480 divisors, whose sum is σ = 12751022592. Its totient is φ = 853493760.

The previous prime is 3403308907. The next prime is 3403309061. The reversal of 3403308960 is 698033043.

3403308960 is a `hidden beast` number, since 340 + 3 + 308 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17275582 + ... + 17275778.

Almost surely, 2^3403308960 is an apocalyptic number.

3403308960 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 3403308960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375511296).

3403308960 is an abundant number, since it is smaller than the sum of its proper divisors (9347713632).

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

3403308960 is a wasteful number, since it uses less digits than its factorization.

3403308960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3403308960 is about 58337.8861461401. The cubic root of 3403308960 is about 1504.1822483617.

The spelling of 3403308960 in words is "three billion, four hundred three million, three hundred eight thousand, nine hundred sixty".