4293103680 has 280 divisors, whose sum is σ = 15451211160. Its totient is φ = 1131356160.

The previous prime is 4293103667. The next prime is 4293103691. The reversal of 4293103680 is 863013924.

4293103680 is a `hidden beast` number, since 4 + 293 + 1 + 0 + 368 + 0 = 666.

4293103680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205291584 + 4087812096 = 14328^2 + 63936^2 .

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

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, 2305950 + ... + 2307810.

It is an arithmetic number, because the mean of its divisors is an integer number (55182897).

Almost surely, 2^4293103680 is an apocalyptic number.

4293103680 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 4293103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7725605580).

4293103680 is an abundant number, since it is smaller than the sum of its proper divisors (11158107480).

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

4293103680 is a wasteful number, since it uses less digits than its factorization.

4293103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4293103680 is about 65521.7801955960. The cubic root of 4293103680 is about 1625.2635381651.

The spelling of 4293103680 in words is "four billion, two hundred ninety-three million, one hundred three thousand, six hundred eighty".