37283940 has 72 divisors (see below), whose sum is σ = 114249408. Its totient is φ = 9840960.

The previous prime is 37283921. The next prime is 37283999. The reversal of 37283940 is 4938273.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37283895 and 37283904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 17535 + ... + 19545.

Almost surely, 2^37283940 is an apocalyptic number.

37283940 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 37283940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57124704).

37283940 is an abundant number, since it is smaller than the sum of its proper divisors (76965468).

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

37283940 is a wasteful number, since it uses less digits than its factorization.

37283940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 37283940 is about 6106.0576479427. The cubic root of 37283940 is about 334.0724023421.

The spelling of 37283940 in words is "thirty-seven million, two hundred eighty-three thousand, nine hundred forty".