3427135488 has 416 divisors, whose sum is σ = 12266841600. Its totient is φ = 923664384.

The previous prime is 3427135477. The next prime is 3427135531. The reversal of 3427135488 is 8845317243.

3427135488 is a `hidden beast` number, since 34 + 2 + 7 + 135 + 488 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14708620 + ... + 14708852.

It is an arithmetic number, because the mean of its divisors is an integer number (29487600).

Almost surely, 2^3427135488 is an apocalyptic number.

3427135488 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 3427135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133420800).

3427135488 is an abundant number, since it is smaller than the sum of its proper divisors (8839706112).

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

3427135488 is a wasteful number, since it uses less digits than its factorization.

3427135488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3427135488 is about 58541.7414158479. The cubic root of 3427135488 is about 1507.6843426955.

The spelling of 3427135488 in words is "three billion, four hundred twenty-seven million, one hundred thirty-five thousand, four hundred eighty-eight".