3459666756 has 384 divisors, whose sum is σ = 11063808000. Its totient is φ = 833172480.

The previous prime is 3459666751. The next prime is 3459666779. The reversal of 3459666756 is 6576669543.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (24494400) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 3459666696 and 3459666705.

It is not an unprimeable number, because it can be changed into a prime (3459666751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41682691 + ... + 41682773.

It is an arithmetic number, because the mean of its divisors is an integer number (28812000).

Almost surely, 2^3459666756 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 3459666756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531904000).

3459666756 is an abundant number, since it is smaller than the sum of its proper divisors (7604141244).

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

3459666756 is a wasteful number, since it uses less digits than its factorization.

3459666756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 57.

The square root of 3459666756 is about 58818.9319522210. The cubic root of 3459666756 is about 1512.4397726263.

The spelling of 3459666756 in words is "three billion, four hundred fifty-nine million, six hundred sixty-six thousand, seven hundred fifty-six".