4075349760 has 360 divisors, whose sum is σ = 15225265440. Its totient is φ = 1038901248.

The previous prime is 4075349741. The next prime is 4075349777. The reversal of 4075349760 is 679435704.

4075349760 is a `hidden beast` number, since 40 + 7 + 534 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2383786 + ... + 2385494.

It is an arithmetic number, because the mean of its divisors is an integer number (42292404).

Almost surely, 2^4075349760 is an apocalyptic number.

4075349760 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 4075349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612632720).

4075349760 is an abundant number, since it is smaller than the sum of its proper divisors (11149915680).

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

4075349760 is a wasteful number, since it uses less digits than its factorization.

4075349760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 4075349760 is about 63838.4661469870. The cubic root of 4075349760 is about 1597.3066353274.

The spelling of 4075349760 in words is "four billion, seventy-five million, three hundred forty-nine thousand, seven hundred sixty".