3483306664200 has 288 divisors, whose sum is σ = 12832088068800. Its totient is φ = 839771712000.

The previous prime is 3483306664199. The next prime is 3483306664213. The reversal of 3483306664200 is 24666033843.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3097821 + ... + 4069779.

It is an arithmetic number, because the mean of its divisors is an integer number (44555861350).

Almost surely, 2^{3483306664200} is an apocalyptic number.

3483306664200 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 3483306664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6416044034400).

3483306664200 is an abundant number, since it is smaller than the sum of its proper divisors (9348781404600).

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

3483306664200 is a wasteful number, since it uses less digits than its factorization.

3483306664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972173 (or 972161 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3483306664200 in words is "three trillion, four hundred eighty-three billion, three hundred six million, six hundred sixty-four thousand, two hundred".