3249971424 has 144 divisors (see below), whose sum is σ = 10953790848. Its totient is φ = 928547712.

The previous prime is 3249971423. The next prime is 3249971471. The reversal of 3249971424 is 4241799423.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3249971424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249971423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24579 + ... + 84285.

It is an arithmetic number, because the mean of its divisors is an integer number (76067992).

Almost surely, 2^3249971424 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 3249971424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476895424).

3249971424 is an abundant number, since it is smaller than the sum of its proper divisors (7703819424).

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

3249971424 is an equidigital number, since it uses as much as digits as its factorization.

3249971424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59739 (or 59719 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3249971424 is about 57008.5206263064. The cubic root of 3249971424 is about 1481.2436928429.

The spelling of 3249971424 in words is "three billion, two hundred forty-nine million, nine hundred seventy-one thousand, four hundred twenty-four".