37483840 has 56 divisors (see below), whose sum is σ = 91467432. Its totient is φ = 14622720.

The previous prime is 37483837. The next prime is 37483843. The reversal of 37483840 is 4838473.

37483840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37483837) and next prime (37483843).

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 36869184 = 784^2 + 6072^2 .

It is a super-2 number, since 2×37483840² = 2810076522291200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 37483840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37483843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11692 + ... + 14548.

It is an arithmetic number, because the mean of its divisors is an integer number (1633347).

Almost surely, 2^37483840 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 37483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45733716).

37483840 is an abundant number, since it is smaller than the sum of its proper divisors (53983592).

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

37483840 is a wasteful number, since it uses less digits than its factorization.

37483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 37483840 is about 6122.4047563029. The cubic root of 37483840 is about 334.6683879709.

The spelling of 37483840 in words is "thirty-seven million, four hundred eighty-three thousand, eight hundred forty".