3404738610 has 384 divisors, whose sum is σ = 11491683840. Its totient is φ = 706185216.

The previous prime is 3404738593. The next prime is 3404738627. The reversal of 3404738610 is 168374043.

3404738610 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 38 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (3404738593) and next prime (3404738627).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19680484 + ... + 19680656.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 2^3404738610 is an apocalyptic number.

3404738610 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 3404738610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745841920).

3404738610 is an abundant number, since it is smaller than the sum of its proper divisors (8086945230).

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

3404738610 is a wasteful number, since it uses less digits than its factorization.

3404738610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3404738610 is about 58350.1380461092. The cubic root of 3404738610 is about 1504.3928427301.

The spelling of 3404738610 in words is "three billion, four hundred four million, seven hundred thirty-eight thousand, six hundred ten".