4234742820 has 288 divisors, whose sum is σ = 16199688960. Its totient is φ = 869806080.

The previous prime is 4234742807. The next prime is 4234742843. The reversal of 4234742820 is 282474324.

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

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, 1231824 + ... + 1235256.

It is an arithmetic number, because the mean of its divisors is an integer number (56248920).

Almost surely, 2^4234742820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234742820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099844480).

4234742820 is an abundant number, since it is smaller than the sum of its proper divisors (11964946140).

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

4234742820 is a wasteful number, since it uses less digits than its factorization.

4234742820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4234742820 is about 65074.9016134485. The cubic root of 4234742820 is about 1617.8652494451.

The spelling of 4234742820 in words is "four billion, two hundred thirty-four million, seven hundred forty-two thousand, eight hundred twenty".