4034875680 has 720 divisors, whose sum is σ = 16351517952. Its totient is φ = 935193600.

The previous prime is 4034875667. The next prime is 4034875687. The reversal of 4034875680 is 865784304.

4034875680 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 87 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (4034875687) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48612919 + ... + 48613001.

Almost surely, 2^4034875680 is an apocalyptic number.

4034875680 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 4034875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175758976).

4034875680 is an abundant number, since it is smaller than the sum of its proper divisors (12316642272).

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

4034875680 is a wasteful number, since it uses less digits than its factorization.

4034875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4034875680 is about 63520.6712810877. The cubic root of 4034875680 is about 1592.0011826292.

The spelling of 4034875680 in words is "four billion, thirty-four million, eight hundred seventy-five thousand, six hundred eighty".