38420844 has 96 divisors (see below), whose sum is σ = 114487296. Its totient is φ = 9737280.

The previous prime is 38420843. The next prime is 38420857. The reversal of 38420844 is 44802483.

It is a super-2 number, since 2×38420844² = 2952322507344672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38420843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39249 + ... + 40215.

It is an arithmetic number, because the mean of its divisors is an integer number (1192576).

Almost surely, 2^38420844 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 38420844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57243648).

38420844 is an abundant number, since it is smaller than the sum of its proper divisors (76066452).

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

38420844 is a wasteful number, since it uses less digits than its factorization.

38420844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 38420844 is about 6198.4549687805. The cubic root of 38420844 is about 337.4340985181.

The spelling of 38420844 in words is "thirty-eight million, four hundred twenty thousand, eight hundred forty-four".