3383912790720 has 3136 divisors, whose sum is σ = 15965441556480. Its totient is φ = 662440550400.

The previous prime is 3383912790649. The next prime is 3383912790721. The reversal of 3383912790720 is 270972193833.

3383912790720 is a `hidden beast` number, since 3 + 383 + 91 + 27 + 90 + 72 + 0 = 666.

3383912790720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3383912790720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3383912790721) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 32853522189 + ... + 32853522291.

Almost surely, 2^{3383912790720} is an apocalyptic number.

3383912790720 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 3383912790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7982720778240).

3383912790720 is an abundant number, since it is smaller than the sum of its proper divisors (12581528765760).

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

3383912790720 is a wasteful number, since it uses less digits than its factorization.

3383912790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 3383912790720 in words is "three trillion, three hundred eighty-three billion, nine hundred twelve million, seven hundred ninety thousand, seven hundred twenty".