38073840 has 160 divisors (see below), whose sum is σ = 136705536. Its totient is φ = 8586240.

The previous prime is 38073823. The next prime is 38073883. The reversal of 38073840 is 4837083.

38073840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 219994 + ... + 220166.

Almost surely, 2^38073840 is an apocalyptic number.

38073840 is a gapful number since it is divisible by the number (30) 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 38073840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68352768).

38073840 is an abundant number, since it is smaller than the sum of its proper divisors (98631696).

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

38073840 is a wasteful number, since it uses less digits than its factorization.

38073840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 38073840 is about 6170.4003111630. The cubic root of 38073840 is about 336.4151614187.

The spelling of 38073840 in words is "thirty-eight million, seventy-three thousand, eight hundred forty".