3400114608 has 240 divisors, whose sum is σ = 10724313600. Its totient is φ = 996779520.

The previous prime is 3400114603. The next prime is 3400114639. The reversal of 3400114608 is 8064110043.

3400114608 is a `hidden beast` number, since 3 + 40 + 0 + 1 + 14 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (3400114603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8114623 + ... + 8115041.

It is an arithmetic number, because the mean of its divisors is an integer number (44684640).

Almost surely, 2^3400114608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400114608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

3400114608 is an abundant number, since it is smaller than the sum of its proper divisors (7324198992).

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

3400114608 is a wasteful number, since it uses less digits than its factorization.

3400114608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3400114608 is about 58310.5016956637. The cubic root of 3400114608 is about 1503.7114916456.

The spelling of 3400114608 in words is "three billion, four hundred million, one hundred fourteen thousand, six hundred eight".