4348650240 has 864 divisors, whose sum is σ = 17999235072. Its totient is φ = 995328000.

The previous prime is 4348650233. The next prime is 4348650259. The reversal of 4348650240 is 420568434.

4348650240 is a `hidden beast` number, since 4 + 34 + 86 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 4348650195 and 4348650204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106064620 + ... + 106064660.

It is an arithmetic number, because the mean of its divisors is an integer number (20832448).

Almost surely, 2^4348650240 is an apocalyptic number.

4348650240 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 4348650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999617536).

4348650240 is an abundant number, since it is smaller than the sum of its proper divisors (13650584832).

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

4348650240 is a wasteful number, since it uses less digits than its factorization.

4348650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4348650240 is about 65944.2964933284. The cubic root of 4348650240 is about 1632.2430433881.

The spelling of 4348650240 in words is "four billion, three hundred forty-eight million, six hundred fifty thousand, two hundred forty".