3389639834880 has 864 divisors, whose sum is σ = 13142298624000. Its totient is φ = 800960348160.

The previous prime is 3389639834851. The next prime is 3389639834881. The reversal of 3389639834880 is 884389369833.

3389639834880 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 63 + 9 + 83 + 488 + 0 = 666.

It is a super-2 number, since 2×3389639834880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3389639834799 and 3389639834808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389639834881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589602246 + ... + 589607994.

Almost surely, 2^{3389639834880} is an apocalyptic number.

3389639834880 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 3389639834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571149312000).

3389639834880 is an abundant number, since it is smaller than the sum of its proper divisors (9752658789120).

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

3389639834880 is a wasteful number, since it uses less digits than its factorization.

3389639834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5947 (or 5930 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 72.

The spelling of 3389639834880 in words is "three trillion, three hundred eighty-nine billion, six hundred thirty-nine million, eight hundred thirty-four thousand, eight hundred eighty".