38464968 has 64 divisors (see below), whose sum is σ = 102816000. Its totient is φ = 11956032.

The previous prime is 38464961. The next prime is 38464973. The reversal of 38464968 is 86946483.

38464968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (38464961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29923 + ... + 31181.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^38464968 is an apocalyptic number.

38464968 is a gapful number since it is divisible by the number (38) 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 38464968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51408000).

38464968 is an abundant number, since it is smaller than the sum of its proper divisors (64351032).

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

38464968 is a wasteful number, since it uses less digits than its factorization.

38464968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1350 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 38464968 is about 6202.0132215273. The cubic root of 38464968 is about 337.5632232724.

The spelling of 38464968 in words is "thirty-eight million, four hundred sixty-four thousand, nine hundred sixty-eight".