38736420 has 48 divisors (see below), whose sum is σ = 109475520. Its totient is φ = 10233216.

The previous prime is 38736419. The next prime is 38736433. The reversal of 38736420 is 2463783.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579 + ... + 9501.

It is an arithmetic number, because the mean of its divisors is an integer number (2280740).

Almost surely, 2^38736420 is an apocalyptic number.

38736420 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 38736420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54737760).

38736420 is an abundant number, since it is smaller than the sum of its proper divisors (70739100).

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

38736420 is a wasteful number, since it uses less digits than its factorization.

38736420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6044 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 38736420 is about 6223.8589315633. The cubic root of 38736420 is about 338.3554376320.

The spelling of 38736420 in words is "thirty-eight million, seven hundred thirty-six thousand, four hundred twenty".