39290099148384 has 96 divisors (see below), whose sum is σ = 117943375898880. Its totient is φ = 11218782761472.

The previous prime is 39290099148383. The next prime is 39290099148407. The reversal of 39290099148384 is 48384199009293.

39290099148384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×39290099148384² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39290099148383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17039874 + ... + 19207745.

It is an arithmetic number, because the mean of its divisors is an integer number (1228576832280).

Almost surely, 2^{39290099148384} is an apocalyptic number.

It is an amenable number.

39290099148384 is an abundant number, since it is smaller than the sum of its proper divisors (78653276750496).

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

39290099148384 is a wasteful number, since it uses less digits than its factorization.

39290099148384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36249252 (or 36249244 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 39290099148384 in words is "thirty-nine trillion, two hundred ninety billion, ninety-nine million, one hundred forty-eight thousand, three hundred eighty-four".