38430720 has 192 divisors, whose sum is σ = 137592000. Its totient is φ = 10174464.

The previous prime is 38430719. The next prime is 38430737. The reversal of 38430720 is 2703483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 276411 + ... + 276549.

It is an arithmetic number, because the mean of its divisors is an integer number (716625).

Almost surely, 2^38430720 is an apocalyptic number.

38430720 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 38430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

38430720 is an abundant number, since it is smaller than the sum of its proper divisors (99161280).

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

38430720 is a wasteful number, since it uses less digits than its factorization.

38430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38430720 is about 6199.2515677298. The cubic root of 38430720 is about 337.4630082913.

The spelling of 38430720 in words is "thirty-eight million, four hundred thirty thousand, seven hundred twenty".