3485388956 has 48 divisors (see below), whose sum is σ = 7360200960. Its totient is φ = 1410773760.

The previous prime is 3485388953. The next prime is 3485388971. The reversal of 3485388956 is 6598835843.

It is a super-3 number, since 3×3485388956³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3485388895 and 3485388904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485388953) 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 15 ways as a sum of consecutive naturals, for example, 166196 + ... + 185988.

It is an arithmetic number, because the mean of its divisors is an integer number (153337520).

Almost surely, 2^3485388956 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 3485388956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680100480).

3485388956 is an abundant number, since it is smaller than the sum of its proper divisors (3874812004).

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

3485388956 is a wasteful number, since it uses less digits than its factorization.

3485388956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20154 (or 20152 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 59.

The square root of 3485388956 is about 59037.1828257413. The cubic root of 3485388956 is about 1516.1787898612.

The spelling of 3485388956 in words is "three billion, four hundred eighty-five million, three hundred eighty-eight thousand, nine hundred fifty-six".