38526964 has 48 divisors (see below), whose sum is σ = 84430080. Its totient is φ = 14999040.

The previous prime is 38526959. The next prime is 38526977. The reversal of 38526964 is 46962583.

It is a self number, because there is not a number n which added to its sum of digits gives 38526964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12409 + ... + 15199.

It is an arithmetic number, because the mean of its divisors is an integer number (1758960).

Almost surely, 2^38526964 is an apocalyptic number.

38526964 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 38526964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42215040).

38526964 is an abundant number, since it is smaller than the sum of its proper divisors (45903116).

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

38526964 is a wasteful number, since it uses less digits than its factorization.

38526964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2848 (or 2846 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 38526964 is about 6207.0092637276. The cubic root of 38526964 is about 337.7444820244.

It can be divided in two parts, 3852 and 6964, that added together give a square (10816 = 104²).

The spelling of 38526964 in words is "thirty-eight million, five hundred twenty-six thousand, nine hundred sixty-four".