3483136800 has 864 divisors, whose sum is σ = 15355267200. Its totient is φ = 729907200.

The previous prime is 3483136757. The next prime is 3483136801. The reversal of 3483136800 is 86313843.

It is a happy number.

3483136800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3483136801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17503101 + ... + 17503299.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^3483136800 is an apocalyptic number.

3483136800 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 3483136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7677633600).

3483136800 is an abundant number, since it is smaller than the sum of its proper divisors (11872130400).

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

3483136800 is a wasteful number, since it uses less digits than its factorization.

3483136800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3483136800 is about 59018.1056964725. The cubic root of 3483136800 is about 1515.8521494247.

It can be divided in two parts, 34831 and 36800, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 3483136800 in words is "three billion, four hundred eighty-three million, one hundred thirty-six thousand, eight hundred".