8234403840 has 768 divisors, whose sum is σ = 33022080000. Its totient is φ = 1932263424.

The previous prime is 8234403829. The next prime is 8234403887. The reversal of 8234403840 is 483044328.

8234403840 is a `hidden beast` number, since 8 + 234 + 40 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 8234403795 and 8234403804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104232921 + ... + 104232999.

It is an arithmetic number, because the mean of its divisors is an integer number (42997500).

Almost surely, 2^8234403840 is an apocalyptic number.

8234403840 is a gapful number since it is divisible by the number (80) 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 8234403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040000).

8234403840 is an abundant number, since it is smaller than the sum of its proper divisors (24787676160).

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

8234403840 is a wasteful number, since it uses less digits than its factorization.

8234403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8234403840 is about 90743.6159737973. The cubic root of 8234403840 is about 2019.3459176934.

The spelling of 8234403840 in words is "eight billion, two hundred thirty-four million, four hundred three thousand, eight hundred forty".