38945376 has 72 divisors (see below), whose sum is σ = 114594480. Its totient is φ = 12531456.

The previous prime is 38945363. The next prime is 38945377. The reversal of 38945376 is 67354983.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38945377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6021 + ... + 10683.

It is an arithmetic number, because the mean of its divisors is an integer number (1591590).

Almost surely, 2^38945376 is an apocalyptic number.

38945376 is a gapful number since it is divisible by the number (36) 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 38945376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57297240).

38945376 is an abundant number, since it is smaller than the sum of its proper divisors (75649104).

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

38945376 is a wasteful number, since it uses less digits than its factorization.

38945376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4697 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 38945376 is about 6240.6230458184. The cubic root of 38945376 is about 338.9627442285.

The spelling of 38945376 in words is "thirty-eight million, nine hundred forty-five thousand, three hundred seventy-six".