4034007072 has 36 divisors (see below), whose sum is σ = 11471708430. Its totient is φ = 1344668928.

The previous prime is 4034007023. The next prime is 4034007079. The reversal of 4034007072 is 2707004304.

It can be written as a sum of positive squares in only one way, i.e., 2616936336 + 1417070736 = 51156^2 + 37644^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (4034007079) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7003197 + ... + 7003772.

Almost surely, 2^4034007072 is an apocalyptic number.

It is an amenable number.

4034007072 is an abundant number, since it is smaller than the sum of its proper divisors (7437701358).

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

4034007072 is a wasteful number, since it uses less digits than its factorization.

4034007072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14006985 (or 14006974 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4034007072 is about 63513.8337057369. The cubic root of 4034007072 is about 1591.8869350609.

The spelling of 4034007072 in words is "four billion, thirty-four million, seven thousand, seventy-two".