3389769919872 has 384 divisors, whose sum is σ = 11683985564160. Its totient is φ = 922304249856.

The previous prime is 3389769919871. The next prime is 3389769919873. The reversal of 3389769919872 is 2789199679833.

3389769919872 is a `hidden beast` number, since 3 + 389 + 7 + 69 + 91 + 98 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3389769919871) and next prime (3389769919873).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3389769919872² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3389769919791 and 3389769919800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389769919871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42061888 + ... + 42142400.

It is an arithmetic number, because the mean of its divisors is an integer number (30427045740).

Almost surely, 2^{3389769919872} is an apocalyptic number.

3389769919872 is a gapful number since it is divisible by the number (32) 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 3389769919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841992782080).

3389769919872 is an abundant number, since it is smaller than the sum of its proper divisors (8294215644288).

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

3389769919872 is a wasteful number, since it uses less digits than its factorization.

3389769919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80790 (or 80775 counting only the distinct ones).

The product of its digits is 2222131968, while the sum is 81.

The spelling of 3389769919872 in words is "three trillion, three hundred eighty-nine billion, seven hundred sixty-nine million, nine hundred nineteen thousand, eight hundred seventy-two".