3499723904 has 128 divisors (see below), whose sum is σ = 7643782080. Its totient is φ = 1589575680.

The previous prime is 3499723901. The next prime is 3499723919. The reversal of 3499723904 is 4093279943.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (3499723901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10573019 + ... + 10573349.

Almost surely, 2^3499723904 is an apocalyptic number.

3499723904 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 3499723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821891040).

3499723904 is an abundant number, since it is smaller than the sum of its proper divisors (4144058176).

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

3499723904 is a wasteful number, since it uses less digits than its factorization.

3499723904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The square root of 3499723904 is about 59158.4643478852. The cubic root of 3499723904 is about 1518.2545615514.

The spelling of 3499723904 in words is "three billion, four hundred ninety-nine million, seven hundred twenty-three thousand, nine hundred four".