38630340 has 288 divisors, whose sum is σ = 147603456. Its totient is φ = 7983360.

The previous prime is 38630329. The next prime is 38630351. The reversal of 38630340 is 4303683.

38630340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38630329) and next prime (38630351).

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 95 ways as a sum of consecutive naturals, for example, 898359 + ... + 898401.

It is an arithmetic number, because the mean of its divisors is an integer number (512512).

Almost surely, 2^38630340 is an apocalyptic number.

38630340 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 38630340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73801728).

38630340 is an abundant number, since it is smaller than the sum of its proper divisors (108973116).

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

38630340 is a wasteful number, since it uses less digits than its factorization.

38630340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 38630340 is about 6215.3310450852. The cubic root of 38630340 is about 338.0462922252.

The spelling of 38630340 in words is "thirty-eight million, six hundred thirty thousand, three hundred forty".