3455114656 has 72 divisors (see below), whose sum is σ = 7991540676. Its totient is φ = 1466035200.

The previous prime is 3455114633. The next prime is 3455114681. The reversal of 3455114656 is 6564115543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2971994256 + 483120400 = 54516^2 + 21980^2 .

It is a super-2 number, since 2×3455114656² = 23875634572211996672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147460 + ... + 169276.

Almost surely, 2^3455114656 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 3455114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995770338).

3455114656 is an abundant number, since it is smaller than the sum of its proper divisors (4536426020).

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

3455114656 is a wasteful number, since it uses less digits than its factorization.

3455114656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21942 (or 21927 counting only the distinct ones).

The product of its digits is 216000, while the sum is 40.

The square root of 3455114656 is about 58780.2233408482. The cubic root of 3455114656 is about 1511.7761442712.

The spelling of 3455114656 in words is "three billion, four hundred fifty-five million, one hundred fourteen thousand, six hundred fifty-six".