4234782720 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 945094656.

The previous prime is 4234782649. The next prime is 4234782791. The reversal of 4234782720 is 272874324.

It is an interprime number because it is at equal distance from previous prime (4234782649) and next prime (4234782791).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4234782720² = 35866769371221196800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10106671 + ... + 10107089.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^4234782720 is an apocalyptic number.

4234782720 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 4234782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4234782720 is an abundant number, since it is smaller than the sum of its proper divisors (11615815680).

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

4234782720 is a wasteful number, since it uses less digits than its factorization.

4234782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 4234782720 is about 65075.2081825329. The cubic root of 4234782720 is about 1617.8703306368.

The spelling of 4234782720 in words is "four billion, two hundred thirty-four million, seven hundred eighty-two thousand, seven hundred twenty".