38313630 has 96 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 9611712.

The previous prime is 38313629. The next prime is 38313661. The reversal of 38313630 is 3631383.

38313630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38313594 and 38313603.

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, 171699 + ... + 171921.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^38313630 is an apocalyptic number.

38313630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38313630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

38313630 is an abundant number, since it is smaller than the sum of its proper divisors (67357026).

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

38313630 is a wasteful number, since it uses less digits than its factorization.

38313630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 38313630 is about 6189.8004814372. The cubic root of 38313630 is about 337.1199343008.

The spelling of 38313630 in words is "thirty-eight million, three hundred thirteen thousand, six hundred thirty".