38971020 has 96 divisors (see below), whose sum is σ = 120185856. Its totient is φ = 9356800.

The previous prime is 38971007. The next prime is 38971043. The reversal of 38971020 is 2017983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 90205 + ... + 90635.

It is an arithmetic number, because the mean of its divisors is an integer number (1251936).

Almost surely, 2^38971020 is an apocalyptic number.

38971020 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 38971020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60092928).

38971020 is an abundant number, since it is smaller than the sum of its proper divisors (81214836).

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

38971020 is a wasteful number, since it uses less digits than its factorization.

38971020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 38971020 is about 6242.6773102572. The cubic root of 38971020 is about 339.0371257884.

The spelling of 38971020 in words is "thirty-eight million, nine hundred seventy-one thousand, twenty".