37966964 has 36 divisors (see below), whose sum is σ = 78125796. Its totient is φ = 16095744.

The previous prime is 37966963. The next prime is 37966969. The reversal of 37966964 is 46966973.

It can be written as a sum of positive squares in 2 ways, for example, as 7075600 + 30891364 = 2660^2 + 5558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37966961) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18014 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (2170161).

Almost surely, 2^37966964 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 37966964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39062898).

37966964 is an abundant number, since it is smaller than the sum of its proper divisors (40158832).

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

37966964 is a wasteful number, since it uses less digits than its factorization.

37966964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2103 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 50.

The square root of 37966964 is about 6161.7338468973. The cubic root of 37966964 is about 336.1000859247.

Subtracting 37966964 from its reverse (46966973), we obtain a palindrome (9000009).

The spelling of 37966964 in words is "thirty-seven million, nine hundred sixty-six thousand, nine hundred sixty-four".