38748420 has 72 divisors (see below), whose sum is σ = 119497560. Its totient is φ = 10160640.

The previous prime is 38748401. The next prime is 38748421. The reversal of 38748420 is 2484783.

It can be written as a sum of positive squares in 4 ways, for example, as 1806336 + 36942084 = 1344^2 + 6078^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38748421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9216 + ... + 12744.

Almost surely, 2^38748420 is an apocalyptic number.

38748420 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 38748420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59748780).

38748420 is an abundant number, since it is smaller than the sum of its proper divisors (80749140).

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

38748420 is a wasteful number, since it uses less digits than its factorization.

38748420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38748420 is about 6224.8228890467. The cubic root of 38748420 is about 338.3903732821.

The spelling of 38748420 in words is "thirty-eight million, seven hundred forty-eight thousand, four hundred twenty".