3495856907088 has 720 divisors, whose sum is σ = 13120541231616. Its totient is φ = 892223216640.

The previous prime is 3495856907017. The next prime is 3495856907089. The reversal of 3495856907088 is 8807096585943.

3495856907088 is a `hidden beast` number, since 3 + 4 + 9 + 58 + 569 + 0 + 7 + 0 + 8 + 8 = 666.

3495856907088 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3495856907089) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76753570 + ... + 76799102.

Almost surely, 2^{3495856907088} 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 3495856907088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560270615808).

3495856907088 is an abundant number, since it is smaller than the sum of its proper divisors (9624684324528).

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

3495856907088 is a wasteful number, since it uses less digits than its factorization.

3495856907088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45614 (or 45589 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 3495856907088 in words is "three trillion, four hundred ninety-five billion, eight hundred fifty-six million, nine hundred seven thousand, eighty-eight".