4237742880 has 384 divisors, whose sum is σ = 17350502400. Its totient is φ = 945810432.

The previous prime is 4237742863. The next prime is 4237742891. The reversal of 4237742880 is 882477324.

4237742880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1298691 + ... + 1301949.

It is an arithmetic number, because the mean of its divisors is an integer number (45183600).

Almost surely, 2^4237742880 is an apocalyptic number.

4237742880 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 4237742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8675251200).

4237742880 is an abundant number, since it is smaller than the sum of its proper divisors (13112759520).

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

4237742880 is a wasteful number, since it uses less digits than its factorization.

4237742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3333 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 4237742880 is about 65097.9483547677. The cubic root of 4237742880 is about 1618.2472125925.

The spelling of 4237742880 in words is "four billion, two hundred thirty-seven million, seven hundred forty-two thousand, eight hundred eighty".