3724430318688 has 96 divisors (see below), whose sum is σ = 10299105815040. Its totient is φ = 1175231116800.

The previous prime is 3724430318683. The next prime is 3724430318689. The reversal of 3724430318688 is 8868130344273.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3724430318683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1588281 + ... + 3157767.

It is an arithmetic number, because the mean of its divisors is an integer number (107282352240).

Almost surely, 2^{3724430318688} is an apocalyptic number.

3724430318688 is a gapful number since it is divisible by the number (38) 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 3724430318688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5149552907520).

3724430318688 is an abundant number, since it is smaller than the sum of its proper divisors (6574675496352).

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

3724430318688 is a wasteful number, since it uses less digits than its factorization.

3724430318688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570820 (or 1570812 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 3724430318688 in words is "three trillion, seven hundred twenty-four billion, four hundred thirty million, three hundred eighteen thousand, six hundred eighty-eight".