38325672 has 192 divisors, whose sum is σ = 134184960. Its totient is φ = 9590400.

The previous prime is 38325653. The next prime is 38325697. The reversal of 38325672 is 27652383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171753 + ... + 171975.

It is an arithmetic number, because the mean of its divisors is an integer number (698880).

Almost surely, 2^38325672 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 38325672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67092480).

38325672 is an abundant number, since it is smaller than the sum of its proper divisors (95859288).

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

38325672 is a wasteful number, since it uses less digits than its factorization.

38325672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 38325672 is about 6190.7731342701. The cubic root of 38325672 is about 337.1552496095.

Subtracting from 38325672 its reverse (27652383), we obtain a square (10673289 = 3267²).

The spelling of 38325672 in words is "thirty-eight million, three hundred twenty-five thousand, six hundred seventy-two".