3436072128 has 168 divisors, whose sum is σ = 10076779440. Its totient is φ = 1119191040.

The previous prime is 3436072091. The next prime is 3436072139. The reversal of 3436072128 is 8212706343.

It is a happy number.

3436072128 is a `hidden beast` number, since 3 + 4 + 3 + 607 + 21 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3436072092 and 3436072101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4972263 + ... + 4972953.

It is an arithmetic number, because the mean of its divisors is an integer number (59980830).

Almost surely, 2^3436072128 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 3436072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038389720).

3436072128 is an abundant number, since it is smaller than the sum of its proper divisors (6640707312).

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

3436072128 is a wasteful number, since it uses less digits than its factorization.

3436072128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3436072128 is about 58618.0187996831. The cubic root of 3436072128 is about 1508.9936905801.

The spelling of 3436072128 in words is "three billion, four hundred thirty-six million, seventy-two thousand, one hundred twenty-eight".