38406720 has 112 divisors (see below), whose sum is σ = 133063488. Its totient is φ = 9308160.

The previous prime is 38406713. The next prime is 38406727. The reversal of 38406720 is 2760483.

It is an interprime number because it is at equal distance from previous prime (38406713) and next prime (38406727).

It is a super-3 number, since 3×38406720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (38406727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8742 + ... + 12378.

Almost surely, 2^38406720 is an apocalyptic number.

38406720 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 38406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66531744).

38406720 is an abundant number, since it is smaller than the sum of its proper divisors (94656768).

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

38406720 is a wasteful number, since it uses less digits than its factorization.

38406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 38406720 is about 6197.3155478804. The cubic root of 38406720 is about 337.3927450683.

The spelling of 38406720 in words is "thirty-eight million, four hundred six thousand, seven hundred twenty".