3459703104 has 420 divisors, whose sum is σ = 12148535520. Its totient is φ = 965053440.

The previous prime is 3459703097. The next prime is 3459703109. The reversal of 3459703104 is 4013079543.

3459703104 is a `hidden beast` number, since 34 + 597 + 0 + 31 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459703109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9636877 + ... + 9637235.

Almost surely, 2^3459703104 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 3459703104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074267760).

3459703104 is an abundant number, since it is smaller than the sum of its proper divisors (8688832416).

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

3459703104 is a wasteful number, since it uses less digits than its factorization.

3459703104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3459703104 is about 58819.2409335585. The cubic root of 3459703104 is about 1512.4450692798.

The spelling of 3459703104 in words is "three billion, four hundred fifty-nine million, seven hundred three thousand, one hundred four".