4334695680 has 288 divisors, whose sum is σ = 15955365888. Its totient is φ = 982425600.

The previous prime is 4334695661. The next prime is 4334695691. The reversal of 4334695680 is 865964334.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3520665 + ... + 3521895.

It is an arithmetic number, because the mean of its divisors is an integer number (55400576).

Almost surely, 2^4334695680 is an apocalyptic number.

4334695680 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 4334695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7977682944).

4334695680 is an abundant number, since it is smaller than the sum of its proper divisors (11620670208).

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

4334695680 is a wasteful number, since it uses less digits than its factorization.

4334695680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 4334695680 is about 65838.4058130207. The cubic root of 4334695680 is about 1630.4952489118.

The spelling of 4334695680 in words is "four billion, three hundred thirty-four million, six hundred ninety-five thousand, six hundred eighty".