3427910064 has 240 divisors, whose sum is σ = 10638604800. Its totient is φ = 1054753920.

The previous prime is 3427910053. The next prime is 3427910071. The reversal of 3427910064 is 4600197243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9548317 + ... + 9548675.

It is an arithmetic number, because the mean of its divisors is an integer number (44327520).

Almost surely, 2^3427910064 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 3427910064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319302400).

3427910064 is an abundant number, since it is smaller than the sum of its proper divisors (7210694736).

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

3427910064 is a wasteful number, since it uses less digits than its factorization.

3427910064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3427910064 is about 58548.3566293709. The cubic root of 3427910064 is about 1507.7979193877.

The spelling of 3427910064 in words is "three billion, four hundred twenty-seven million, nine hundred ten thousand, sixty-four".