38622720 has 160 divisors (see below), whose sum is σ = 127277568. Its totient is φ = 9986048.

The previous prime is 38622719. The next prime is 38622739. The reversal of 38622720 is 2722683.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

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, 360907 + ... + 361013.

Almost surely, 2^38622720 is an apocalyptic number.

38622720 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 38622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63638784).

38622720 is an abundant number, since it is smaller than the sum of its proper divisors (88654848).

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

38622720 is a wasteful number, since it uses less digits than its factorization.

38622720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

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

The square root of 38622720 is about 6214.7180145200. The cubic root of 38622720 is about 338.0240637373.

The spelling of 38622720 in words is "thirty-eight million, six hundred twenty-two thousand, seven hundred twenty".