37642638 has 64 divisors (see below), whose sum is σ = 86469120. Its totient is φ = 10819200.

The previous prime is 37642637. The next prime is 37642643. The reversal of 37642638 is 83624673.

37642638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37642638³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 37642596 and 37642605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37642637) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 135756 + ... + 136032.

It is an arithmetic number, because the mean of its divisors is an integer number (1351080).

Almost surely, 2^37642638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37642638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43234560).

37642638 is an abundant number, since it is smaller than the sum of its proper divisors (48826482).

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

37642638 is a wasteful number, since it uses less digits than its factorization.

37642638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393.

The product of its digits is 145152, while the sum is 39.

The square root of 37642638 is about 6135.3596471601. The cubic root of 37642638 is about 335.1403228879.

The spelling of 37642638 in words is "thirty-seven million, six hundred forty-two thousand, six hundred thirty-eight".