37328040 has 160 divisors (see below), whose sum is σ = 128981160. Its totient is φ = 9676800.

The previous prime is 37328023. The next prime is 37328047. The reversal of 37328040 is 4082373.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 13883076 = 4842^2 + 3726^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 37327995 and 37328013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37328047) 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 39 ways as a sum of consecutive naturals, for example, 132700 + ... + 132980.

Almost surely, 2^37328040 is an apocalyptic number.

37328040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37328040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64490580).

37328040 is an abundant number, since it is smaller than the sum of its proper divisors (91653120).

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

37328040 is a wasteful number, since it uses less digits than its factorization.

37328040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 37328040 is about 6109.6677487405. The cubic root of 37328040 is about 334.2040657171.

The spelling of 37328040 in words is "thirty-seven million, three hundred twenty-eight thousand, forty".