38958150 has 96 divisors (see below), whose sum is σ = 120492288. Its totient is φ = 8092800.

The previous prime is 38958131. The next prime is 38958163. The reversal of 38958150 is 5185983.

It is a junction number, because it is equal to n+sod(n) for n = 38958099 and 38958108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9864 + ... + 13236.

It is an arithmetic number, because the mean of its divisors is an integer number (1255128).

Almost surely, 2^38958150 is an apocalyptic number.

38958150 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 38958150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60246144).

38958150 is an abundant number, since it is smaller than the sum of its proper divisors (81534138).

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

38958150 is a wasteful number, since it uses less digits than its factorization.

38958150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 38958150 is about 6241.6464174126. The cubic root of 38958150 is about 338.9997998624. Note that the first 3 decimals are identical.

The spelling of 38958150 in words is "thirty-eight million, nine hundred fifty-eight thousand, one hundred fifty".