3485343769344 has 540 divisors, whose sum is σ = 10766461871088. Its totient is φ = 1120921804800.

The previous prime is 3485343769333. The next prime is 3485343769409. The reversal of 3485343769344 is 4439673435843.

3485343769344 is a `hidden beast` number, since 3 + 4 + 8 + 534 + 3 + 7 + 6 + 93 + 4 + 4 = 666.

3485343769344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17692100254 + ... + 17692100450.

Almost surely, 2^{3485343769344} 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 3485343769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5383230935544).

3485343769344 is an abundant number, since it is smaller than the sum of its proper divisors (7281118101744).

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

3485343769344 is an frugal number, since it uses more digits than its factorization.

3485343769344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 334 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 63.

The spelling of 3485343769344 in words is "three trillion, four hundred eighty-five billion, three hundred forty-three million, seven hundred sixty-nine thousand, three hundred forty-four".