3456216036 has 144 divisors (see below), whose sum is σ = 10852441600. Its totient is φ = 903073536.

The previous prime is 3456216013. The next prime is 3456216041. The reversal of 3456216036 is 6306126543.

3456216036 is a `hidden beast` number, since 3 + 4 + 562 + 1 + 60 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352245 + ... + 361923.

Almost surely, 2^3456216036 is an apocalyptic number.

3456216036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456216036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426220800).

3456216036 is an abundant number, since it is smaller than the sum of its proper divisors (7396225564).

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

3456216036 is a wasteful number, since it uses less digits than its factorization.

3456216036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9818 (or 9813 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3456216036 is about 58789.5912215759. The cubic root of 3456216036 is about 1511.9367624934.

The spelling of 3456216036 in words is "three billion, four hundred fifty-six million, two hundred sixteen thousand, thirty-six".