3485638656 has 336 divisors, whose sum is σ = 11163507264. Its totient is φ = 1082916864.

The previous prime is 3485638633. The next prime is 3485638679. The reversal of 3485638656 is 6568365843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3485638633) and next prime (3485638679).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33841101 + ... + 33841203.

It is an arithmetic number, because the mean of its divisors is an integer number (33224724).

Almost surely, 2^3485638656 is an apocalyptic number.

3485638656 is a gapful number since it is divisible by the number (36) 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 3485638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581753632).

3485638656 is an abundant number, since it is smaller than the sum of its proper divisors (7677868608).

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

3485638656 is an equidigital number, since it uses as much as digits as its factorization.

3485638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 125 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 3485638656 is about 59039.2975567969. The cubic root of 3485638656 is about 1516.2149963227.

The spelling of 3485638656 in words is "three billion, four hundred eighty-five million, six hundred thirty-eight thousand, six hundred fifty-six".