4105734000 has 80 divisors (see below), whose sum is σ = 13236905760. Its totient is φ = 1094860800.

The previous prime is 4105733981. The next prime is 4105734007. The reversal of 4105734000 is 4375014.

4105734000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105734007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336145 + ... + 348144.

It is an arithmetic number, because the mean of its divisors is an integer number (165461322).

Almost surely, 2^4105734000 is an apocalyptic number.

4105734000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4105734000 is an abundant number, since it is smaller than the sum of its proper divisors (9131171760).

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

4105734000 is a wasteful number, since it uses less digits than its factorization.

4105734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684315 (or 684299 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 4105734000 is about 64076.0017479243. The cubic root of 4105734000 is about 1601.2664452250.

It can be divided in two parts, 41057 and 34000, that added together give a palindrome (75057).

The spelling of 4105734000 in words is "four billion, one hundred five million, seven hundred thirty-four thousand".