37993040 has 40 divisors (see below), whose sum is σ = 89164680. Its totient is φ = 15054336.

The previous prime is 37993003. The next prime is 37993051. The reversal of 37993040 is 4039973.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 18421264 = 4424^2 + 4292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 6542 + ... + 10898.

It is an arithmetic number, because the mean of its divisors is an integer number (2229117).

Almost surely, 2^37993040 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 37993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582340).

37993040 is an abundant number, since it is smaller than the sum of its proper divisors (51171640).

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

37993040 is a wasteful number, since it uses less digits than its factorization.

37993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 37993040 is about 6163.8494465715. The cubic root of 37993040 is about 336.1770136820.

The spelling of 37993040 in words is "thirty-seven million, nine hundred ninety-three thousand, forty".