3485233976 has 96 divisors (see below), whose sum is σ = 7969836000. Its totient is φ = 1428729456.

The previous prime is 3485233933. The next prime is 3485234057. The reversal of 3485233976 is 6793325843.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

Its product of digits (3265920) is a multiple of the sum of its prime divisors (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 151531901 + ... + 151531923.

It is an arithmetic number, because the mean of its divisors is an integer number (83019125).

Almost surely, 2^3485233976 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 3485233976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984918000).

3485233976 is an abundant number, since it is smaller than the sum of its proper divisors (4484602024).

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

3485233976 is an frugal number, since it uses more digits than its factorization.

3485233976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 32 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 50.

The square root of 3485233976 is about 59035.8702485192. The cubic root of 3485233976 is about 1516.1563169154.

The spelling of 3485233976 in words is "three billion, four hundred eighty-five million, two hundred thirty-three thousand, nine hundred seventy-six".