4341993984 has 140 divisors (see below), whose sum is σ = 13008429126. Its totient is φ = 1447206912.

The previous prime is 4341993973. The next prime is 4341993989. The reversal of 4341993984 is 4893991434.

It can be written as a sum of positive squares in only one way, i.e., 3401222400 + 940771584 = 58320^2 + 30672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4341993984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4341993989) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 367432 + ... + 379064.

Almost surely, 2^4341993984 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 4341993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6504214563).

4341993984 is an abundant number, since it is smaller than the sum of its proper divisors (8666435142).

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

4341993984 is an frugal number, since it uses more digits than its factorization.

4341993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669 (or 11638 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4341993984 is about 65893.8083889526. The cubic root of 4341993984 is about 1631.4098212019.

The spelling of 4341993984 in words is "four billion, three hundred forty-one million, nine hundred ninety-three thousand, nine hundred eighty-four".