34499724384 has 96 divisors (see below), whose sum is σ = 96579423360. Its totient is φ = 10745505792.

The previous prime is 34499724361. The next prime is 34499724407. The reversal of 34499724384 is 48342799443.

It is an interprime number because it is at equal distance from previous prime (34499724361) and next prime (34499724407).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150807 + ... + 302889.

It is an arithmetic number, because the mean of its divisors is an integer number (1006035660).

Almost surely, 2^34499724384 is an apocalyptic number.

34499724384 is a gapful number since it is divisible by the number (34) 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 34499724384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48289711680).

34499724384 is an abundant number, since it is smaller than the sum of its proper divisors (62079698976).

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

34499724384 is a wasteful number, since it uses less digits than its factorization.

34499724384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152252 (or 152244 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 57.

The spelling of 34499724384 in words is "thirty-four billion, four hundred ninety-nine million, seven hundred twenty-four thousand, three hundred eighty-four".