1036038752 has 72 divisors (see below), whose sum is σ = 2512349784. Its totient is φ = 417887232.

The previous prime is 1036038743. The next prime is 1036038781. The reversal of 1036038752 is 2578306301.

It is a super-3 number, since 3×1036038752³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7223 + ... + 46089.

It is an arithmetic number, because the mean of its divisors is an integer number (34893747).

Almost surely, 2^1036038752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036038752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256174892).

1036038752 is an abundant number, since it is smaller than the sum of its proper divisors (1476311032).

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

1036038752 is a wasteful number, since it uses less digits than its factorization.

1036038752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38908 (or 38893 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 1036038752 is about 32187.5558562622. Note that the first 3 decimals coincide. The cubic root of 1036038752 is about 1011.8714288275.

The spelling of 1036038752 in words is "one billion, thirty-six million, thirty-eight thousand, seven hundred fifty-two".