3333540400880 has 80 divisors (see below), whose sum is σ = 7845565664160. Its totient is φ = 1317064571904.

The previous prime is 3333540400843. The next prime is 3333540400909. The reversal of 3333540400880 is 880040453333.

3333540400880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3333540400880² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31906166 + ... + 32010474.

It is an arithmetic number, because the mean of its divisors is an integer number (98069570802).

Almost surely, 2^{3333540400880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3333540400880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922782832080).

3333540400880 is an abundant number, since it is smaller than the sum of its proper divisors (4512025263280).

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

3333540400880 is a wasteful number, since it uses less digits than its factorization.

3333540400880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109218 (or 109212 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 3333540400880 in words is "three trillion, three hundred thirty-three billion, five hundred forty million, four hundred thousand, eight hundred eighty".