3262188864 has 112 divisors (see below), whose sum is σ = 9499884480. Its totient is φ = 979722240.

The previous prime is 3262188863. The next prime is 3262188913. The reversal of 3262188864 is 4688812623.

It is a super-2 number, since 2×3262188864² = 21283752368811220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3262188863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231822 + ... + 245490.

Almost surely, 2^3262188864 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 3262188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749942240).

3262188864 is an abundant number, since it is smaller than the sum of its proper divisors (6237695616).

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

3262188864 is a wasteful number, since it uses less digits than its factorization.

3262188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13798 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 3262188864 is about 57115.5746184874. The cubic root of 3262188864 is about 1483.0974913125.

The spelling of 3262188864 in words is "three billion, two hundred sixty-two million, one hundred eighty-eight thousand, eight hundred sixty-four".