3481593287040 has 1536 divisors, whose sum is σ = 14706954864000. Its totient is φ = 774674841600.

The previous prime is 3481593287021. The next prime is 3481593287041. The reversal of 3481593287040 is 407823951843.

It is a happy number.

3481593287040 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 593 + 2 + 8 + 7 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481593287041) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1457342166 + ... + 1457344554.

Almost surely, 2^{3481593287040} is an apocalyptic number.

3481593287040 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 3481593287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353477432000).

3481593287040 is an abundant number, since it is smaller than the sum of its proper divisors (11225361576960).

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

3481593287040 is a wasteful number, since it uses less digits than its factorization.

3481593287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 3481593287040 in words is "three trillion, four hundred eighty-one billion, five hundred ninety-three million, two hundred eighty-seven thousand, forty".