3340342656 has 192 divisors, whose sum is σ = 11021287680. Its totient is φ = 951266304.

The previous prime is 3340342639. The next prime is 3340342657. The reversal of 3340342656 is 6562430433.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3340342656² = 22315778118986268672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3340342656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340342657) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3765445 + ... + 3766331.

It is an arithmetic number, because the mean of its divisors is an integer number (57402540).

Almost surely, 2^3340342656 is an apocalyptic number.

3340342656 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 3340342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510643840).

3340342656 is an abundant number, since it is smaller than the sum of its proper divisors (7680945024).

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

3340342656 is a wasteful number, since it uses less digits than its factorization.

3340342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3340342656 is about 57795.6975561330. The cubic root of 3340342656 is about 1494.8479028571.

The spelling of 3340342656 in words is "three billion, three hundred forty million, three hundred forty-two thousand, six hundred fifty-six".