37842642 has 24 divisors (see below), whose sum is σ = 86308560. Its totient is φ = 11950200.

The previous prime is 37842589. The next prime is 37842643. The reversal of 37842642 is 24624873.

37842642 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 37842597 and 37842606.

It is not an unprimeable number, because it can be changed into a prime (37842643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54984 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (3596190).

Almost surely, 2^37842642 is an apocalyptic number.

37842642 is an abundant number, since it is smaller than the sum of its proper divisors (48465918).

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

37842642 is a wasteful number, since it uses less digits than its factorization.

37842642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110678 (or 110675 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 37842642 is about 6151.6373430169. The cubic root of 37842642 is about 335.7328339662.

The spelling of 37842642 in words is "thirty-seven million, eight hundred forty-two thousand, six hundred forty-two".