3485389824 has 616 divisors, whose sum is σ = 12887256960. Its totient is φ = 919683072.

The previous prime is 3485389783. The next prime is 3485389829. The reversal of 3485389824 is 4289835843.

3485389824 is a `hidden beast` number, since 3 + 485 + 3 + 89 + 82 + 4 = 666.

3485389824 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 (54).

Its product of digits (6635520) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485389829) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 120185842 + ... + 120185870.

Almost surely, 2^3485389824 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 3485389824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443628480).

3485389824 is an abundant number, since it is smaller than the sum of its proper divisors (9401867136).

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

3485389824 is an equidigital number, since it uses as much as digits as its factorization.

3485389824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3485389824 is about 59037.1901770401. The cubic root of 3485389824 is about 1516.1789157241.

The spelling of 3485389824 in words is "three billion, four hundred eighty-five million, three hundred eighty-nine thousand, eight hundred twenty-four".