37945746 has 80 divisors (see below), whose sum is σ = 90561240. Its totient is φ = 11854080.

The previous prime is 37945741. The next prime is 37945769. The reversal of 37945746 is 64754973.

37945746 is a `hidden beast` number, since 3 + 79 + 4 + 574 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33698025 + 4247721 = 5805^2 + 2061^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37945741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 192520 + ... + 192716.

Almost surely, 2^37945746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37945746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45280620).

37945746 is an abundant number, since it is smaller than the sum of its proper divisors (52615494).

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

37945746 is a wasteful number, since it uses less digits than its factorization.

37945746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 272 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 37945746 is about 6160.0118506380. The cubic root of 37945746 is about 336.0374639349.

The spelling of 37945746 in words is "thirty-seven million, nine hundred forty-five thousand, seven hundred forty-six".