38991040 has 168 divisors, whose sum is σ = 109453680. Its totient is φ = 13178880.

The previous prime is 38991037. The next prime is 38991061. The reversal of 38991040 is 4019983.

It is a junction number, because it is equal to n+sod(n) for n = 38990987 and 38991005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 735654 + ... + 735706.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^38991040 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 38991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54726840).

38991040 is an abundant number, since it is smaller than the sum of its proper divisors (70462640).

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

38991040 is a wasteful number, since it uses less digits than its factorization.

38991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 38991040 is about 6244.2805830616. The cubic root of 38991040 is about 339.0951720093.

The spelling of 38991040 in words is "thirty-eight million, nine hundred ninety-one thousand, forty".