37642641 has 16 divisors (see below), whose sum is σ = 53424000. Its totient is φ = 23493888.

The previous prime is 37642637. The next prime is 37642643. The reversal of 37642641 is 14624673.

It is a happy number.

It is not a de Polignac number, because 37642641 - 2² = 37642637 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37642643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8295 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (3339000).

Almost surely, 2^37642641 is an apocalyptic number.

It is an amenable number.

37642641 is a deficient number, since it is larger than the sum of its proper divisors (15781359).

37642641 is a wasteful number, since it uses less digits than its factorization.

37642641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928.

The product of its digits is 24192, while the sum is 33.

The square root of 37642641 is about 6135.3598916445. The cubic root of 37642641 is about 335.1403317911.

It can be divided in two parts, 37642 and 641, that added together give a palindrome (38283).

The spelling of 37642641 in words is "thirty-seven million, six hundred forty-two thousand, six hundred forty-one".