38948700 has 144 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 8371200.

The previous prime is 38948681. The next prime is 38948713. The reversal of 38948700 is 784983.

38948700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 35155 + ... + 36245.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^38948700 is an apocalyptic number.

38948700 is a gapful number since it is divisible by the number (30) 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 38948700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

38948700 is an abundant number, since it is smaller than the sum of its proper divisors (97542564).

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

38948700 is a wasteful number, since it uses less digits than its factorization.

38948700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38948700 is about 6240.8893596987. The cubic root of 38948700 is about 338.9723874795.

The spelling of 38948700 in words is "thirty-eight million, nine hundred forty-eight thousand, seven hundred".