3254336411040 has 864 divisors, whose sum is σ = 13167904434048. Its totient is φ = 727017984000.

The previous prime is 3254336411017. The next prime is 3254336411071. The reversal of 3254336411040 is 401146334523.

3254336411040 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 3 + 3 + 641 + 1 + 0 + 4 + 0 = 666.

3254336411040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3254336410986 and 3254336411004.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2380640437 + ... + 2380641803.

It is an arithmetic number, because the mean of its divisors is an integer number (15240630132).

Almost surely, 2^{3254336411040} is an apocalyptic number.

3254336411040 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 3254336411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583952217024).

3254336411040 is an abundant number, since it is smaller than the sum of its proper divisors (9913568023008).

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

3254336411040 is a wasteful number, since it uses less digits than its factorization.

3254336411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 3254336411040 in words is "three trillion, two hundred fifty-four billion, three hundred thirty-six million, four hundred eleven thousand, forty".