37663040 has 56 divisors (see below), whose sum is σ = 92137992. Its totient is φ = 14653440.

The previous prime is 37663039. The next prime is 37663061. The reversal of 37663040 is 4036673.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 34480384 = 1784^2 + 5872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 37662994 and 37663012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10250 + ... + 13430.

Almost surely, 2^37663040 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 37663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46068996).

37663040 is an abundant number, since it is smaller than the sum of its proper divisors (54474952).

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

37663040 is a wasteful number, since it uses less digits than its factorization.

37663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3235 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 37663040 is about 6137.0220791521. The cubic root of 37663040 is about 335.2008597180.

The spelling of 37663040 in words is "thirty-seven million, six hundred sixty-three thousand, forty".