37946240 has 64 divisors (see below), whose sum is σ = 91469520. Its totient is φ = 15052800.

The previous prime is 37946221. The next prime is 37946243. The reversal of 37946240 is 4264973.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 37946240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37946243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134900 + ... + 135180.

Almost surely, 2^37946240 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 37946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45734760).

37946240 is an abundant number, since it is smaller than the sum of its proper divisors (53523280).

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

37946240 is a wasteful number, since it uses less digits than its factorization.

37946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 37946240 is about 6160.0519478329. The cubic root of 37946240 is about 336.0389221729.

The spelling of 37946240 in words is "thirty-seven million, nine hundred forty-six thousand, two hundred forty".