3431517648 has 320 divisors, whose sum is σ = 10559324160. Its totient is φ = 951035904.

The previous prime is 3431517647. The next prime is 3431517659. The reversal of 3431517648 is 8467151343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431517647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27019761 + ... + 27019887.

It is an arithmetic number, because the mean of its divisors is an integer number (32997888).

Almost surely, 2^3431517648 is an apocalyptic number.

3431517648 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 3431517648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279662080).

3431517648 is an abundant number, since it is smaller than the sum of its proper divisors (7127806512).

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

3431517648 is a wasteful number, since it uses less digits than its factorization.

3431517648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 3431517648 is about 58579.1571124065. The cubic root of 3431517648 is about 1508.3266769938.

The spelling of 3431517648 in words is "three billion, four hundred thirty-one million, five hundred seventeen thousand, six hundred forty-eight".