3436012800 has 972 divisors, whose sum is σ = 14790108060. Its totient is φ = 756940800.

The previous prime is 3436012799. The next prime is 3436012847. The reversal of 3436012800 is 82106343.

It is a happy number.

3436012800 is a `hidden beast` number, since 34 + 3 + 601 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1115136 + 3434897664 = 1056^2 + 58608^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 118483186 + ... + 118483214.

Almost surely, 2^3436012800 is an apocalyptic number.

3436012800 is a gapful number since it is divisible by the number (30) 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 3436012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395054030).

3436012800 is an abundant number, since it is smaller than the sum of its proper divisors (11354095260).

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

3436012800 is a wasteful number, since it uses less digits than its factorization.

3436012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3436012800 is about 58617.5127415007. The cubic root of 3436012800 is about 1508.9850056545.

The spelling of 3436012800 in words is "three billion, four hundred thirty-six million, twelve thousand, eight hundred".