37618542 has 48 divisors (see below), whose sum is σ = 88216128. Its totient is φ = 11517120.

The previous prime is 37618541. The next prime is 37618573. The reversal of 37618542 is 24581673.

37618542 is a `hidden beast` number, since 37 + 618 + 5 + 4 + 2 = 666.

37618542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37618497 and 37618506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37618541) 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 23 ways as a sum of consecutive naturals, for example, 87067 + ... + 87497.

It is an arithmetic number, because the mean of its divisors is an integer number (1837836).

Almost surely, 2^37618542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37618542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44108064).

37618542 is an abundant number, since it is smaller than the sum of its proper divisors (50597586).

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

37618542 is a wasteful number, since it uses less digits than its factorization.

37618542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 822 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 37618542 is about 6133.3956337416. The cubic root of 37618542 is about 335.0687970386.

The spelling of 37618542 in words is "thirty-seven million, six hundred eighteen thousand, five hundred forty-two".