4234731840 has 252 divisors, whose sum is σ = 15132663156. Its totient is φ = 1128701952.

The previous prime is 4234731833. The next prime is 4234731847. The reversal of 4234731840 is 481374324.

4234731840 is a `hidden beast` number, since 4 + 2 + 3 + 473 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4234731833) and next prime (4234731847).

It can be written as a sum of positive squares in 2 ways, for example, as 2620620864 + 1614110976 = 51192^2 + 40176^2 .

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 = 4234731795 and 4234731804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234731847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2098512 + ... + 2100528.

Almost surely, 2^4234731840 is an apocalyptic number.

4234731840 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 4234731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566331578).

4234731840 is an abundant number, since it is smaller than the sum of its proper divisors (10897931316).

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

4234731840 is an frugal number, since it uses more digits than its factorization.

4234731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4234731840 is about 65074.8172490711. The cubic root of 4234731840 is about 1617.8638511567.

The spelling of 4234731840 in words is "four billion, two hundred thirty-four million, seven hundred thirty-one thousand, eight hundred forty".