3327641444400 has 1920 divisors, whose sum is σ = 14336789053440. Its totient is φ = 640493568000.

The previous prime is 3327641444363. The next prime is 3327641444417. The reversal of 3327641444400 is 44441467233.

It is a happy number.

It is a super-2 number, since 2×3327641444400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6150908130 + ... + 6150908670.

It is an arithmetic number, because the mean of its divisors is an integer number (7467077632).

Almost surely, 2^{3327641444400} is an apocalyptic number.

3327641444400 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 3327641444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168394526720).

3327641444400 is an abundant number, since it is smaller than the sum of its proper divisors (11009147609040).

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

3327641444400 is a wasteful number, since it uses less digits than its factorization.

3327641444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 3327641444400 in words is "three trillion, three hundred twenty-seven billion, six hundred forty-one million, four hundred forty-four thousand, four hundred".