38246720 has 56 divisors (see below), whose sum is σ = 93049344. Its totient is φ = 14967296.

The previous prime is 38246711. The next prime is 38246729. The reversal of 38246720 is 2764283.

It is an interprime number because it is at equal distance from previous prime (38246711) and next prime (38246729).

It is a super-3 number, since 3×38246720³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) 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 (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38246729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13769 + ... + 16311.

Almost surely, 2^38246720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46524672).

38246720 is an abundant number, since it is smaller than the sum of its proper divisors (54802624).

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

38246720 is a wasteful number, since it uses less digits than its factorization.

38246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38246720 is about 6184.3932604581. The cubic root of 38246720 is about 336.9235739073.

The spelling of 38246720 in words is "thirty-eight million, two hundred forty-six thousand, seven hundred twenty".