3348649390200 has 192 divisors, whose sum is σ = 10478405276640. Its totient is φ = 884586823680.

The previous prime is 3348649390199. The next prime is 3348649390213. The reversal of 3348649390200 is 20939468433.

It is a super-2 number, since 2×3348649390200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 133756884 + ... + 133781916.

Almost surely, 2^{3348649390200} is an apocalyptic number.

3348649390200 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 3348649390200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239202638320).

3348649390200 is an abundant number, since it is smaller than the sum of its proper divisors (7129755886440).

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

3348649390200 is a wasteful number, since it uses less digits than its factorization.

3348649390200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27138 (or 27129 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 3348649390200 in words is "three trillion, three hundred forty-eight billion, six hundred forty-nine million, three hundred ninety thousand, two hundred".