3388744026360 has 384 divisors, whose sum is σ = 13956120322560. Its totient is φ = 692610739200.

The previous prime is 3388744026337. The next prime is 3388744026413. The reversal of 3388744026360 is 636204478833.

3388744026360 is a `hidden beast` number, since 3 + 3 + 8 + 87 + 440 + 2 + 63 + 60 = 666.

It is a super-2 number, since 2×3388744026360² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3388744026297 and 3388744026306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 688879 + ... + 2692961.

It is an arithmetic number, because the mean of its divisors is an integer number (36344063340).

Almost surely, 2^{3388744026360} is an apocalyptic number.

3388744026360 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 3388744026360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978060161280).

3388744026360 is an abundant number, since it is smaller than the sum of its proper divisors (10567376296200).

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

3388744026360 is a wasteful number, since it uses less digits than its factorization.

3388744026360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004179 (or 2004172 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3388744026360 in words is "three trillion, three hundred eighty-eight billion, seven hundred forty-four million, twenty-six thousand, three hundred sixty".