38024320 has 128 divisors (see below), whose sum is σ = 99144000. Its totient is φ = 13897728.

The previous prime is 38024297. The next prime is 38024351. The reversal of 38024320 is 2342083.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×38024320² = 2891697822924800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38024291 and 38024300.

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, 644451 + ... + 644509.

Almost surely, 2^38024320 is an apocalyptic number.

38024320 is the 5035-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49572000).

38024320 is an abundant number, since it is smaller than the sum of its proper divisors (61119680).

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

38024320 is a wasteful number, since it uses less digits than its factorization.

38024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 38024320 is about 6166.3862999329. The cubic root of 38024320 is about 336.2692475266.

It can be divided in two parts, 380 and 24320, that multiplied together give a square (9241600 = 3040²).

The spelling of 38024320 in words is "thirty-eight million, twenty-four thousand, three hundred twenty".