3241966464 has 256 divisors, whose sum is σ = 10548921600. Its totient is φ = 972011520.

The previous prime is 3241966459. The next prime is 3241966489. The reversal of 3241966464 is 4646691423.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4067314 + ... + 4068110.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725).

Almost surely, 2^3241966464 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 3241966464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5274460800).

3241966464 is an abundant number, since it is smaller than the sum of its proper divisors (7306955136).

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

3241966464 is a wasteful number, since it uses less digits than its factorization.

3241966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3241966464 is about 56938.2688883320. The cubic root of 3241966464 is about 1480.0265493168.

The spelling of 3241966464 in words is "three billion, two hundred forty-one million, nine hundred sixty-six thousand, four hundred sixty-four".