3341638800 has 360 divisors, whose sum is σ = 12425038080. Its totient is φ = 861580800.

The previous prime is 3341638799. The next prime is 3341638823. The reversal of 3341638800 is 88361433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3341638800² = 22333099739330880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3012646 + ... + 3013754.

Almost surely, 2^3341638800 is an apocalyptic number.

3341638800 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 3341638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6212519040).

3341638800 is an abundant number, since it is smaller than the sum of its proper divisors (9083399280).

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

3341638800 is a wasteful number, since it uses less digits than its factorization.

3341638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3341638800 is about 57806.9096216015. The cubic root of 3341638800 is about 1495.0412250985.

The spelling of 3341638800 in words is "three billion, three hundred forty-one million, six hundred thirty-eight thousand, eight hundred".