3249346091040 has 960 divisors, whose sum is σ = 13758458757120. Its totient is φ = 706531092480.

The previous prime is 3249346091029. The next prime is 3249346091053. The reversal of 3249346091040 is 401906439423.

3249346091040 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 34 + 609 + 1 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 165917089 + ... + 165936671.

It is an arithmetic number, because the mean of its divisors is an integer number (14331727872).

Almost surely, 2^{3249346091040} is an apocalyptic number.

3249346091040 is a gapful number since it is divisible by the number (30) 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 3249346091040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879229378560).

3249346091040 is an abundant number, since it is smaller than the sum of its proper divisors (10509112666080).

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

3249346091040 is a wasteful number, since it uses less digits than its factorization.

3249346091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707 (or 19690 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3249346091040 in words is "three trillion, two hundred forty-nine billion, three hundred forty-six million, ninety-one thousand, forty".