3427145057388 has 192 divisors, whose sum is σ = 9380726208000. Its totient is φ = 964240091136.

The previous prime is 3427145057327. The next prime is 3427145057459. The reversal of 3427145057388 is 8837505417243.

It is a happy number.

3427145057388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 411467208 + ... + 411475536.

It is an arithmetic number, because the mean of its divisors is an integer number (48857949000).

Almost surely, 2^{3427145057388} is an apocalyptic number.

3427145057388 is a gapful number since it is divisible by the number (38) 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 3427145057388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690363104000).

3427145057388 is an abundant number, since it is smaller than the sum of its proper divisors (5953581150612).

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

3427145057388 is a wasteful number, since it uses less digits than its factorization.

3427145057388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13184 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 3427145057388 in words is "three trillion, four hundred twenty-seven billion, one hundred forty-five million, fifty-seven thousand, three hundred eighty-eight".