38705220 has 72 divisors (see below), whose sum is σ = 118623960. Its totient is φ = 10214400.

The previous prime is 38705201. The next prime is 38705263. The reversal of 38705220 is 2250783.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 30272004 = 2904^2 + 5502^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17116 + ... + 19244.

It is an arithmetic number, because the mean of its divisors is an integer number (1647555).

Almost surely, 2^38705220 is an apocalyptic number.

38705220 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 38705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59311980).

38705220 is an abundant number, since it is smaller than the sum of its proper divisors (79918740).

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

38705220 is a wasteful number, since it uses less digits than its factorization.

38705220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38705220 is about 6221.3519431069. The cubic root of 38705220 is about 338.2645711623.

The spelling of 38705220 in words is "thirty-eight million, seven hundred five thousand, two hundred twenty".