37391312 has 60 divisors (see below), whose sum is σ = 86618340. Its totient is φ = 15579648.

The previous prime is 37391267. The next prime is 37391317. The reversal of 37391312 is 21319373.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 5400976 = 5656^2 + 2324^2 .

It is a super-4 number, since 4×37391312⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37391317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28364 + ... + 29652.

It is an arithmetic number, because the mean of its divisors is an integer number (1443639).

Almost surely, 2^37391312 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 37391312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309170).

37391312 is an abundant number, since it is smaller than the sum of its proper divisors (49227028).

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

37391312 is a wasteful number, since it uses less digits than its factorization.

37391312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1335 counting only the distinct ones).

The product of its digits is 3402, while the sum is 29.

The square root of 37391312 is about 6114.8435793567. The cubic root of 37391312 is about 334.3927873264.

The spelling of 37391312 in words is "thirty-seven million, three hundred ninety-one thousand, three hundred twelve".