3456561020 has 144 divisors (see below), whose sum is σ = 8317330560. Its totient is φ = 1204748160.

The previous prime is 3456561019. The next prime is 3456561061. The reversal of 3456561020 is 201656543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6139259 + ... + 6139821.

It is an arithmetic number, because the mean of its divisors is an integer number (57759240).

Almost surely, 2^3456561020 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 3456561020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158665280).

3456561020 is an abundant number, since it is smaller than the sum of its proper divisors (4860769540).

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

3456561020 is a wasteful number, since it uses less digits than its factorization.

3456561020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 3456561020 is about 58792.5252051653. The cubic root of 3456561020 is about 1511.9870657376.

The spelling of 3456561020 in words is "three billion, four hundred fifty-six million, five hundred sixty-one thousand, twenty".