3427741291392 has 384 divisors, whose sum is σ = 10878308812800. Its totient is φ = 1027351572480.

The previous prime is 3427741291367. The next prime is 3427741291477. The reversal of 3427741291392 is 2931921477243.

3427741291392 is a `hidden beast` number, since 3 + 42 + 77 + 412 + 91 + 39 + 2 = 666.

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

It is a congruent number.

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, 1948686609 + ... + 1948688367.

It is an arithmetic number, because the mean of its divisors is an integer number (28328929200).

Almost surely, 2^{3427741291392} is an apocalyptic number.

3427741291392 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 3427741291392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439154406400).

3427741291392 is an abundant number, since it is smaller than the sum of its proper divisors (7450567521408).

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

3427741291392 is a wasteful number, since it uses less digits than its factorization.

3427741291392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3371 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 3427741291392 in words is "three trillion, four hundred twenty-seven billion, seven hundred forty-one million, two hundred ninety-one thousand, three hundred ninety-two".