3383848765440 has 864 divisors, whose sum is σ = 13854533958720. Its totient is φ = 757186560000.

The previous prime is 3383848765439. The next prime is 3383848765463. The reversal of 3383848765440 is 445678483833.

3383848765440 is a `hidden beast` number, since 3 + 3 + 8 + 3 + 8 + 4 + 87 + 6 + 544 + 0 = 666.

It is a super-2 number, since 2×3383848765440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 171315565 + ... + 171335315.

It is an arithmetic number, because the mean of its divisors is an integer number (16035340230).

Almost surely, 2^{3383848765440} is an apocalyptic number.

3383848765440 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 3383848765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6927266979360).

3383848765440 is an abundant number, since it is smaller than the sum of its proper divisors (10470685193280).

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

3383848765440 is a wasteful number, since it uses less digits than its factorization.

3383848765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19785 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 3383848765440 in words is "three trillion, three hundred eighty-three billion, eight hundred forty-eight million, seven hundred sixty-five thousand, four hundred forty".