3321137993460 has 192 divisors, whose sum is σ = 10981133205504. Its totient is φ = 733915468800.

The previous prime is 3321137993431. The next prime is 3321137993471. The reversal of 3321137993460 is 643997311233.

It is a super-2 number, since 2×3321137993460² (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 63 ways as a sum of consecutive naturals, for example, 13326195 + ... + 13573125.

It is an arithmetic number, because the mean of its divisors is an integer number (57193402112).

Almost surely, 2^{3321137993460} is an apocalyptic number.

3321137993460 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 3321137993460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490566602752).

3321137993460 is an abundant number, since it is smaller than the sum of its proper divisors (7659995212044).

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

3321137993460 is a wasteful number, since it uses less digits than its factorization.

3321137993460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248014 (or 248012 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 51.

The spelling of 3321137993460 in words is "three trillion, three hundred twenty-one billion, one hundred thirty-seven million, nine hundred ninety-three thousand, four hundred sixty".