3459252160 has 224 divisors, whose sum is σ = 10204411392. Its totient is φ = 1087672320.

The previous prime is 3459252133. The next prime is 3459252161. The reversal of 3459252160 is 612529543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459252161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6144039 + ... + 6144601.

It is an arithmetic number, because the mean of its divisors is an integer number (45555408).

Almost surely, 2^3459252160 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 3459252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102205696).

3459252160 is an abundant number, since it is smaller than the sum of its proper divisors (6745159232).

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

3459252160 is a wasteful number, since it uses less digits than its factorization.

3459252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 3459252160 is about 58815.4075051767. The cubic root of 3459252160 is about 1512.3793548102.

The spelling of 3459252160 in words is "three billion, four hundred fifty-nine million, two hundred fifty-two thousand, one hundred sixty".