37283040 has 144 divisors (see below), whose sum is σ = 134800848. Its totient is φ = 9351168.

The previous prime is 37283033. The next prime is 37283041. The reversal of 37283040 is 4038273.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 37282995 and 37283013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37283041) 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 23 ways as a sum of consecutive naturals, for example, 23719 + ... + 25241.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 2^37283040 is an apocalyptic number.

37283040 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 37283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67400424).

37283040 is an abundant number, since it is smaller than the sum of its proper divisors (97517808).

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

37283040 is a wasteful number, since it uses less digits than its factorization.

37283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1550 counting only the distinct ones).

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

The square root of 37283040 is about 6105.9839501918. The cubic root of 37283040 is about 334.0697142537.

The spelling of 37283040 in words is "thirty-seven million, two hundred eighty-three thousand, forty".