3409904610 has 144 divisors (see below), whose sum is σ = 10414737216. Its totient is φ = 771736896.

The previous prime is 3409904581. The next prime is 3409904621. The reversal of 3409904610 is 164099043.

3409904610 is a `hidden beast` number, since 34 + 0 + 9 + 9 + 0 + 4 + 610 = 666.

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 71 ways as a sum of consecutive naturals, for example, 450477 + ... + 457983.

It is an arithmetic number, because the mean of its divisors is an integer number (72324564).

Almost surely, 2^3409904610 is an apocalyptic number.

3409904610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409904610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5207368608).

3409904610 is an abundant number, since it is smaller than the sum of its proper divisors (7004832606).

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

3409904610 is a wasteful number, since it uses less digits than its factorization.

3409904610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7627 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3409904610 is about 58394.3885146510. The cubic root of 3409904610 is about 1505.1533285284.

The spelling of 3409904610 in words is "three billion, four hundred nine million, nine hundred four thousand, six hundred ten".