3493559341440 has 1280 divisors, whose sum is σ = 14794712824320. Its totient is φ = 769022263296.

The previous prime is 3493559341439. The next prime is 3493559341451. The reversal of 3493559341440 is 441439553943.

3493559341440 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 5 + 593 + 4 + 1 + 4 + 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 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, 1139078787 + ... + 1139081853.

It is an arithmetic number, because the mean of its divisors is an integer number (11558369394).

Almost surely, 2^{3493559341440} is an apocalyptic number.

3493559341440 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 3493559341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397356412160).

3493559341440 is an abundant number, since it is smaller than the sum of its proper divisors (11301153482880).

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

3493559341440 is a wasteful number, since it uses less digits than its factorization.

3493559341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3221 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 3493559341440 in words is "three trillion, four hundred ninety-three billion, five hundred fifty-nine million, three hundred forty-one thousand, four hundred forty".