37642240 has 56 divisors (see below), whose sum is σ = 90434160. Its totient is φ = 15040512.

The previous prime is 37642229. The next prime is 37642259. The reversal of 37642240 is 4224673.

It is a junction number, because it is equal to n+sod(n) for n = 37642199 and 37642208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40501 + ... + 41419.

Almost surely, 2^37642240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45217080).

37642240 is an abundant number, since it is smaller than the sum of its proper divisors (52791920).

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

37642240 is an frugal number, since it uses more digits than its factorization.

37642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 37642240 is about 6135.3272121379. The cubic root of 37642240 is about 335.1391417245.

The spelling of 37642240 in words is "thirty-seven million, six hundred forty-two thousand, two hundred forty".