3332448000000 has 2688 divisors, whose sum is σ = 15356053440000. Its totient is φ = 696729600000.

The previous prime is 3332447999999. The next prime is 3332448000023. The reversal of 3332448000000 is 8442333.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3332448000000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 114911999986 + ... + 114912000014.

It is an arithmetic number, because the mean of its divisors is an integer number (5712817500).

Almost surely, 2^{3332448000000} is an apocalyptic number.

3332448000000 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 3332448000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678026720000).

3332448000000 is an abundant number, since it is smaller than the sum of its proper divisors (12023605440000).

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

3332448000000 is an frugal number, since it uses more digits than its factorization.

3332448000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3332448000000 in words is "three trillion, three hundred thirty-two billion, four hundred forty-eight million", and thus it is an aban number.