3450056610 has 256 divisors, whose sum is σ = 11215024128. Its totient is φ = 655948800.

The previous prime is 3450056593. The next prime is 3450056627. The reversal of 3450056610 is 166500543.

It is an interprime number because it is at equal distance from previous prime (3450056593) and next prime (3450056627).

It is a super-2 number, since 2×3450056610² = 23805781224409384200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3933492 + ... + 3934368.

It is an arithmetic number, because the mean of its divisors is an integer number (43808688).

Almost surely, 2^3450056610 is an apocalyptic number.

3450056610 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450056610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607512064).

3450056610 is an abundant number, since it is smaller than the sum of its proper divisors (7764967518).

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

3450056610 is a wasteful number, since it uses less digits than its factorization.

3450056610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 3450056610 is about 58737.1825166989. The cubic root of 3450056610 is about 1511.0380725082.

The spelling of 3450056610 in words is "three billion, four hundred fifty million, fifty-six thousand, six hundred ten".