3153862656 has 420 divisors, whose sum is σ = 11073367998. Its totient is φ = 891813888.

The previous prime is 3153862643. The next prime is 3153862697. The reversal of 3153862656 is 6562683513.

3153862656 is a `hidden beast` number, since 3 + 1 + 5 + 386 + 265 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2747437056 + 406425600 = 52416^2 + 20160^2 .

It is a super-2 number, since 2×3153862656² = 19893699305822748672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32514000 + ... + 32514096.

Almost surely, 2^3153862656 is an apocalyptic number.

3153862656 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 3153862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536683999).

3153862656 is an abundant number, since it is smaller than the sum of its proper divisors (7919505342).

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

3153862656 is an frugal number, since it uses more digits than its factorization.

3153862656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3153862656 is about 56159.2615336064. The cubic root of 3153862656 is about 1466.4961447297.

The spelling of 3153862656 in words is "three billion, one hundred fifty-three million, eight hundred sixty-two thousand, six hundred fifty-six".