4034561760 has 144 divisors (see below), whose sum is σ = 13840968960. Its totient is φ = 1070177280.

The previous prime is 4034561753. The next prime is 4034561761. The reversal of 4034561760 is 671654304.

It is a happy number.

4034561760 is a `hidden beast` number, since 4 + 0 + 34 + 5 + 617 + 6 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4034561761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267706 + ... + 282374.

It is an arithmetic number, because the mean of its divisors is an integer number (96117840).

Almost surely, 2^4034561760 is an apocalyptic number.

4034561760 is a gapful number since it is divisible by the number (40) 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 4034561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920484480).

4034561760 is an abundant number, since it is smaller than the sum of its proper divisors (9806407200).

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

4034561760 is a wasteful number, since it uses less digits than its factorization.

4034561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14881 (or 14870 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4034561760 is about 63518.2002263918. The cubic root of 4034561760 is about 1591.9598947836.

The spelling of 4034561760 in words is "four billion, thirty-four million, five hundred sixty-one thousand, seven hundred sixty".