7538329134 has 96 divisors (see below), whose sum is σ = 18871167744. Its totient is φ = 2130312960.

The previous prime is 7538329121. The next prime is 7538329171. The reversal of 7538329134 is 4319238357.

It is a super-3 number, since 3×7538329134³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7538329134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4948897 + ... + 4950419.

It is an arithmetic number, because the mean of its divisors is an integer number (196574664).

Almost surely, 2^7538329134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7538329134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9435583872).

7538329134 is an abundant number, since it is smaller than the sum of its proper divisors (11332838610).

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

7538329134 is a wasteful number, since it uses less digits than its factorization.

7538329134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1939 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 7538329134 is about 86823.5517241722. The cubic root of 7538329134 is about 1960.7626781627.

The spelling of 7538329134 in words is "seven billion, five hundred thirty-eight million, three hundred twenty-nine thousand, one hundred thirty-four".