38142720 has 432 divisors, whose sum is σ = 168360192. Its totient is φ = 7741440.

The previous prime is 38142707. The next prime is 38142721. The reversal of 38142720 is 2724183.

It is not an unprimeable number, because it can be changed into a prime (38142721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 887019 + ... + 887061.

Almost surely, 2^38142720 is an apocalyptic number.

38142720 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 38142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

38142720 is an abundant number, since it is smaller than the sum of its proper divisors (130217472).

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

38142720 is a wasteful number, since it uses less digits than its factorization.

38142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 38142720 is about 6175.9792745766. The cubic root of 38142720 is about 336.6179105728.

The spelling of 38142720 in words is "thirty-eight million, one hundred forty-two thousand, seven hundred twenty".