3400117056 has 252 divisors, whose sum is σ = 11555963172. Its totient is φ = 952713216.

The previous prime is 3400117043. The next prime is 3400117057. The reversal of 3400117056 is 6507110043.

It can be written as a sum of positive squares in 2 ways, for example, as 2765077056 + 635040000 = 52584^2 + 25200^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400117057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1494736 + ... + 1497008.

Almost surely, 2^3400117056 is an apocalyptic number.

3400117056 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 3400117056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777981586).

3400117056 is an abundant number, since it is smaller than the sum of its proper divisors (8155846116).

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

3400117056 is a wasteful number, since it uses less digits than its factorization.

3400117056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 3400117056 is about 58310.5226867330. The cubic root of 3400117056 is about 1503.7118525241.

Adding to 3400117056 its reverse (6507110043), we get a palindrome (9907227099).

The spelling of 3400117056 in words is "three billion, four hundred million, one hundred seventeen thousand, fifty-six".