4361343840 has 576 divisors, whose sum is σ = 17812109952. Its totient is φ = 951091200.

The previous prime is 4361343839. The next prime is 4361343859. The reversal of 4361343840 is 483431634.

It is a happy number.

4361343840 is a `hidden beast` number, since 4 + 3 + 613 + 4 + 38 + 4 + 0 = 666.

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 = 4361343795 and 4361343804.

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, 25209994 + ... + 25210166.

It is an arithmetic number, because the mean of its divisors is an integer number (30923802).

Almost surely, 2^4361343840 is an apocalyptic number.

4361343840 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 4361343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906054976).

4361343840 is an abundant number, since it is smaller than the sum of its proper divisors (13450766112).

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

4361343840 is a wasteful number, since it uses less digits than its factorization.

4361343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4361343840 is about 66040.4712278766. The cubic root of 4361343840 is about 1633.8296593363.

The spelling of 4361343840 in words is "four billion, three hundred sixty-one million, three hundred forty-three thousand, eight hundred forty".