37283064 has 128 divisors (see below), whose sum is σ = 117680640. Its totient is φ = 9580032.

The previous prime is 37283053. The next prime is 37283083. The reversal of 37283064 is 46038273.

37283064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37283064² = 2780053722456192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93714 + ... + 94110.

It is an arithmetic number, because the mean of its divisors is an integer number (919380).

Almost surely, 2^37283064 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 37283064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58840320).

37283064 is an abundant number, since it is smaller than the sum of its proper divisors (80397576).

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

37283064 is a wasteful number, since it uses less digits than its factorization.

37283064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 37283064 is about 6105.9859154767. The cubic root of 37283064 is about 334.0697859366.

It can be divided in two parts, 372 and 83064, that added together give a triangular number (83436 = T₄₀₈).

The spelling of 37283064 in words is "thirty-seven million, two hundred eighty-three thousand, sixty-four".