3405008460 has 96 divisors (see below), whose sum is σ = 11008488960. Its totient is φ = 770254848.

The previous prime is 3405008459. The next prime is 3405008501. The reversal of 3405008460 is 648005043.

3405008460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3405008460² = 23188165225343143200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1050 + ... + 82529.

It is an arithmetic number, because the mean of its divisors is an integer number (114671760).

Almost surely, 2^3405008460 is an apocalyptic number.

3405008460 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 3405008460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504244480).

3405008460 is an abundant number, since it is smaller than the sum of its proper divisors (7603480500).

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

3405008460 is a wasteful number, since it uses less digits than its factorization.

3405008460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83695 (or 83693 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3405008460 is about 58352.4503341548. The cubic root of 3405008460 is about 1504.4325863278.

The spelling of 3405008460 in words is "three billion, four hundred five million, eight thousand, four hundred sixty".