38121642 has 48 divisors (see below), whose sum is σ = 89886888. Its totient is φ = 11606400.

The previous prime is 38121617. The next prime is 38121659. The reversal of 38121642 is 24612183.

38121642 is a `hidden beast` number, since 3 + 8 + 12 + 1 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36108081 + 2013561 = 6009^2 + 1419^2 .

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 23 ways as a sum of consecutive naturals, for example, 22828 + ... + 24440.

Almost surely, 2^38121642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38121642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44943444).

38121642 is an abundant number, since it is smaller than the sum of its proper divisors (51765246).

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

38121642 is a wasteful number, since it uses less digits than its factorization.

38121642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1732 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38121642 is about 6174.2725887346. The cubic root of 38121642 is about 336.5558931491. Note that the first 3 decimals are identical.

The spelling of 38121642 in words is "thirty-eight million, one hundred twenty-one thousand, six hundred forty-two".