3352899888000 has 1536 divisors, whose sum is σ = 13853460741120. Its totient is φ = 770660352000.

The previous prime is 3352899887963. The next prime is 3352899888007. The reversal of 3352899888000 is 8889982533.

It is a super-2 number, since 2×3352899888000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352899888007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1851407095 + ... + 1851408905.

It is an arithmetic number, because the mean of its divisors is an integer number (9019180170).

Almost surely, 2^{3352899888000} is an apocalyptic number.

3352899888000 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 3352899888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926730370560).

3352899888000 is an abundant number, since it is smaller than the sum of its proper divisors (10500560853120).

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

3352899888000 is a wasteful number, since it uses less digits than its factorization.

3352899888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 3352899888000 in words is "three trillion, three hundred fifty-two billion, eight hundred ninety-nine million, eight hundred eighty-eight thousand".