37641040 has 20 divisors (see below), whose sum is σ = 87515604. Its totient is φ = 15056384.

The previous prime is 37641029. The next prime is 37641047. The reversal of 37641040 is 4014673.

37641040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6370576 + 31270464 = 2524^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 37640996 and 37641014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37641047) 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 3 ways as a sum of consecutive naturals, for example, 235177 + ... + 235336.

Almost surely, 2^37641040 is an apocalyptic number.

It is an amenable number.

37641040 is an abundant number, since it is smaller than the sum of its proper divisors (49874564).

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

37641040 is a wasteful number, since it uses less digits than its factorization.

37641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470526 (or 470520 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 37641040 is about 6135.2294170634. The cubic root of 37641040 is about 335.1355803774.

The spelling of 37641040 in words is "thirty-seven million, six hundred forty-one thousand, forty".