3352141800 has 192 divisors, whose sum is σ = 13195881600. Its totient is φ = 766195200.

The previous prime is 3352141783. The next prime is 3352141909. The reversal of 3352141800 is 81412533.

It is a happy number.

It is a super-2 number, since 2×3352141800² = 22473709294614480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6541 + ... + 82140.

It is an arithmetic number, because the mean of its divisors is an integer number (68728550).

Almost surely, 2^3352141800 is an apocalyptic number.

3352141800 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 3352141800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597940800).

3352141800 is an abundant number, since it is smaller than the sum of its proper divisors (9843739800).

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

3352141800 is a wasteful number, since it uses less digits than its factorization.

3352141800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88713 (or 88698 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3352141800 is about 57897.6838914995. The cubic root of 3352141800 is about 1496.6059259667.

The spelling of 3352141800 in words is "three billion, three hundred fifty-two million, one hundred forty-one thousand, eight hundred".