3394903104 has 140 divisors (see below), whose sum is σ = 10092615324. Its totient is φ = 1128370176.

The previous prime is 3394903073. The next prime is 3394903157. The reversal of 3394903104 is 4013094933.

3394903104 is a `hidden beast` number, since 339 + 4 + 9 + 0 + 310 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2877249600 + 517653504 = 53640^2 + 22752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2368372 + ... + 2369804.

Almost surely, 2^3394903104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3394903104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5046307662).

3394903104 is an abundant number, since it is smaller than the sum of its proper divisors (6697712220).

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

3394903104 is a wasteful number, since it uses less digits than its factorization.

3394903104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3394903104 is about 58265.7970339375. The cubic root of 3394903104 is about 1502.9428307226.

The spelling of 3394903104 in words is "three billion, three hundred ninety-four million, nine hundred three thousand, one hundred four".