38286720 has 288 divisors, whose sum is σ = 146549520. Its totient is φ = 9191424.

The previous prime is 38286719. The next prime is 38286769. The reversal of 38286720 is 2768283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1664629 + ... + 1664651.

Almost surely, 2^38286720 is an apocalyptic number.

38286720 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 38286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73274760).

38286720 is an abundant number, since it is smaller than the sum of its proper divisors (108262800).

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

38286720 is a wasteful number, since it uses less digits than its factorization.

38286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38286720 is about 6187.6263623461. The cubic root of 38286720 is about 337.0409891823.

The spelling of 38286720 in words is "thirty-eight million, two hundred eighty-six thousand, seven hundred twenty".