3404795904 has 208 divisors, whose sum is σ = 10686306240. Its totient is φ = 1067581440.

The previous prime is 3404795893. The next prime is 3404795917. The reversal of 3404795904 is 4095974043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3404795904.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879159 + ... + 1880969.

Almost surely, 2^3404795904 is an apocalyptic number.

3404795904 is a gapful number since it is divisible by the number (34) 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 3404795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343153120).

3404795904 is an abundant number, since it is smaller than the sum of its proper divisors (7281510336).

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

3404795904 is a wasteful number, since it uses less digits than its factorization.

3404795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3404795904 is about 58350.6289940391. The cubic root of 3404795904 is about 1504.4012811851.

The spelling of 3404795904 in words is "three billion, four hundred four million, seven hundred ninety-five thousand, nine hundred four".