3383890648200 has 288 divisors, whose sum is σ = 12085685320800. Its totient is φ = 846063636480.

The previous prime is 3383890648199. The next prime is 3383890648213. The reversal of 3383890648200 is 28460983833.

It is a happy number.

3383890648200 is a `hidden beast` number, since 3 + 3 + 83 + 89 + 0 + 6 + 482 + 0 + 0 = 666.

It is a super-2 number, since 2×3383890648200² (a number of 26 digits) contains 22 as substring.

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, 2807379 + ... + 3827421.

Almost surely, 2^{3383890648200} is an apocalyptic number.

3383890648200 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 3383890648200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042842660400).

3383890648200 is an abundant number, since it is smaller than the sum of its proper divisors (8701794672600).

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

3383890648200 is a wasteful number, since it uses less digits than its factorization.

3383890648200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020181 (or 1020169 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3383890648200 in words is "three trillion, three hundred eighty-three billion, eight hundred ninety million, six hundred forty-eight thousand, two hundred".