3386807727940 has 144 divisors (see below), whose sum is σ = 8911002551472. Its totient is φ = 1071737339904.

The previous prime is 3386807727937. The next prime is 3386807727973. The reversal of 3386807727940 is 497277086833.

It can be written as a sum of positive squares in 8 ways, for example, as 15081804864 + 3371725923076 = 122808^2 + 1836226^2 .

It is a super-2 number, since 2×3386807727940² (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 47 ways as a sum of consecutive naturals, for example, 206290612 + ... + 206307028.

It is an arithmetic number, because the mean of its divisors is an integer number (61881962163).

Almost surely, 2^{3386807727940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386807727940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455501275736).

3386807727940 is an abundant number, since it is smaller than the sum of its proper divisors (5524194823532).

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

3386807727940 is a wasteful number, since it uses less digits than its factorization.

3386807727940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32646 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 64.

The spelling of 3386807727940 in words is "three trillion, three hundred eighty-six billion, eight hundred seven million, seven hundred twenty-seven thousand, nine hundred forty".