3495837985920 has 512 divisors, whose sum is σ = 14494958553600. Its totient is φ = 779558584320.

The previous prime is 3495837985903. The next prime is 3495837985921. The reversal of 3495837985920 is 295897385943.

3495837985920 is a `hidden beast` number, since 3 + 4 + 95 + 8 + 379 + 85 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3495837985921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4606912 + ... + 5311808.

It is an arithmetic number, because the mean of its divisors is an integer number (28310465925).

Almost surely, 2^{3495837985920} is an apocalyptic number.

3495837985920 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 3495837985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7247479276800).

3495837985920 is an abundant number, since it is smaller than the sum of its proper divisors (10999120567680).

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

3495837985920 is a wasteful number, since it uses less digits than its factorization.

3495837985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704973 (or 704955 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 3495837985920 in words is "three trillion, four hundred ninety-five billion, eight hundred thirty-seven million, nine hundred eighty-five thousand, nine hundred twenty".