3400132608 has 144 divisors (see below), whose sum is σ = 10160432100. Its totient is φ = 1094123520.

The previous prime is 3400132559. The next prime is 3400132627. The reversal of 3400132608 is 8062310043.

It is a happy number.

3400132608 is a `hidden beast` number, since 3 + 40 + 0 + 13 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3351020544 + 49112064 = 57888^2 + 7008^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 531348 + ... + 537708.

Almost surely, 2^3400132608 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 3400132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080216050).

3400132608 is an abundant number, since it is smaller than the sum of its proper divisors (6760299492).

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

3400132608 is a wasteful number, since it uses less digits than its factorization.

3400132608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3400132608 is about 58310.6560415847. The cubic root of 3400132608 is about 1503.7141451599.

The spelling of 3400132608 in words is "three billion, four hundred million, one hundred thirty-two thousand, six hundred eight".