3249374413824 has 528 divisors, whose sum is σ = 12130978169856. Its totient is φ = 843988377600.

The previous prime is 3249374413823. The next prime is 3249374413837. The reversal of 3249374413824 is 4283144739423.

3249374413824 is a `hidden beast` number, since 3 + 2 + 493 + 74 + 4 + 1 + 3 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (3249374413823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19075269 + ... + 19244859.

Almost surely, 2^{3249374413824} 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 3249374413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065489084928).

3249374413824 is an abundant number, since it is smaller than the sum of its proper divisors (8881603756032).

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

3249374413824 is a wasteful number, since it uses less digits than its factorization.

3249374413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169644 (or 169614 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 54.

The spelling of 3249374413824 in words is "three trillion, two hundred forty-nine billion, three hundred seventy-four million, four hundred thirteen thousand, eight hundred twenty-four".