38345832 has 96 divisors (see below), whose sum is σ = 123940800. Its totient is φ = 10952928.

The previous prime is 38345831. The next prime is 38345869. The reversal of 38345832 is 23854383.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38345831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8773 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (1291050).

Almost surely, 2^38345832 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 38345832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61970400).

38345832 is an abundant number, since it is smaller than the sum of its proper divisors (85594968).

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

38345832 is a wasteful number, since it uses less digits than its factorization.

38345832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652 (or 3635 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 38345832 is about 6192.4011497964. The cubic root of 38345832 is about 337.2143558433.

The spelling of 38345832 in words is "thirty-eight million, three hundred forty-five thousand, eight hundred thirty-two".