4234052000 has 96 divisors (see below), whose sum is σ = 10425424464. Its totient is φ = 1689984000.

The previous prime is 4234051981. The next prime is 4234052021. The reversal of 4234052000 is 2504324.

It can be written as a sum of positive squares in 8 ways, for example, as 136515856 + 4097536144 = 11684^2 + 64012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2611190 + ... + 2612810.

Almost surely, 2^4234052000 is an apocalyptic number.

4234052000 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 4234052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212712232).

4234052000 is an abundant number, since it is smaller than the sum of its proper divisors (6191372464).

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

4234052000 is a wasteful number, since it uses less digits than its factorization.

4234052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4234052000 is about 65069.5935134069. The cubic root of 4234052000 is about 1617.7772697259. Note that the first 3 decimals are identical.

Adding to 4234052000 its reverse (2504324), we get a palindrome (4236556324).

It can be divided in two parts, 423405 and 2000, that multiplied together give a square (846810000 = 29100²).

The spelling of 4234052000 in words is "four billion, two hundred thirty-four million, fifty-two thousand".