3427711664 has 80 divisors (see below), whose sum is σ = 7452023040. Its totient is φ = 1516631040.

The previous prime is 3427711583. The next prime is 3427711741. The reversal of 3427711664 is 4661177243.

3427711664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700394 + ... + 705270.

It is an arithmetic number, because the mean of its divisors is an integer number (93150288).

Almost surely, 2^3427711664 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 3427711664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726011520).

3427711664 is an abundant number, since it is smaller than the sum of its proper divisors (4024311376).

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

3427711664 is a wasteful number, since it uses less digits than its factorization.

3427711664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5032 counting only the distinct ones).

The product of its digits is 169344, while the sum is 41.

The square root of 3427711664 is about 58546.6622789037. The cubic root of 3427711664 is about 1507.7688294687.

The spelling of 3427711664 in words is "three billion, four hundred twenty-seven million, seven hundred eleven thousand, six hundred sixty-four".