4349790074784 has 1152 divisors, whose sum is σ = 15337299124224. Its totient is φ = 1074879590400.

The previous prime is 4349790074779. The next prime is 4349790074789. The reversal of 4349790074784 is 4874700979434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4349790074779) and next prime (4349790074789).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (4349790074789) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14168697159 + ... + 14168697465.

It is an arithmetic number, because the mean of its divisors is an integer number (13313627712).

Almost surely, 2^{4349790074784} is an apocalyptic number.

4349790074784 is a gapful number since it is divisible by the number (44) 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 4349790074784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668649562112).

4349790074784 is an abundant number, since it is smaller than the sum of its proper divisors (10987509049440).

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

4349790074784 is a wasteful number, since it uses less digits than its factorization.

4349790074784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 66.

The spelling of 4349790074784 in words is "four trillion, three hundred forty-nine billion, seven hundred ninety million, seventy-four thousand, seven hundred eighty-four".