3331123019840 has 224 divisors, whose sum is σ = 9891274307328. Its totient is φ = 1038090240000.

The previous prime is 3331123019839. The next prime is 3331123020037. The reversal of 3331123019840 is 489103211333.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3331123019840² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331123019794 and 3331123019803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236561600 + ... + 236575680.

Almost surely, 2^{3331123019840} 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 3331123019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945637153664).

3331123019840 is an abundant number, since it is smaller than the sum of its proper divisors (6560151287488).

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

3331123019840 is a wasteful number, since it uses less digits than its factorization.

3331123019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23707 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 3331123019840 in words is "three trillion, three hundred thirty-one billion, one hundred twenty-three million, nineteen thousand, eight hundred forty".