37745540 has 48 divisors (see below), whose sum is σ = 92316672. Its totient is φ = 12694656.

The previous prime is 37745537. The next prime is 37745549. The reversal of 37745540 is 4554773.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 37745540.

It is not an unprimeable number, because it can be changed into a prime (37745549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4877 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (1923264).

Almost surely, 2^37745540 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 37745540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46158336).

37745540 is an abundant number, since it is smaller than the sum of its proper divisors (54571132).

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

37745540 is a wasteful number, since it uses less digits than its factorization.

37745540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5156 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 35.

The square root of 37745540 is about 6143.7399033488. The cubic root of 37745540 is about 335.4454310855.

The spelling of 37745540 in words is "thirty-seven million, seven hundred forty-five thousand, five hundred forty".