3453382656 has 156 divisors (see below), whose sum is σ = 10411481808. Its totient is φ = 1100808192.

The previous prime is 3453382649. The next prime is 3453382687. The reversal of 3453382656 is 6562833543.

3453382656 is a `hidden beast` number, since 34 + 533 + 82 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×3453382656² = 23851703537523228672, 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 11 ways as a sum of consecutive naturals, for example, 845836 + ... + 849908.

It is an arithmetic number, because the mean of its divisors is an integer number (66740268).

Almost surely, 2^3453382656 is an apocalyptic number.

3453382656 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 3453382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205740904).

3453382656 is an abundant number, since it is smaller than the sum of its proper divisors (6958099152).

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

3453382656 is a wasteful number, since it uses less digits than its factorization.

3453382656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4126 (or 4101 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3453382656 is about 58765.4886476748. The cubic root of 3453382656 is about 1511.5234913989.

The spelling of 3453382656 in words is "three billion, four hundred fifty-three million, three hundred eighty-two thousand, six hundred fifty-six".