37145440 has 48 divisors (see below), whose sum is σ = 90599040. Its totient is φ = 14376960.

The previous prime is 37145431. The next prime is 37145441. The reversal of 37145440 is 4454173.

It is a junction number, because it is equal to n+sod(n) for n = 37145399 and 37145408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37145441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1216 + ... + 8704.

It is an arithmetic number, because the mean of its divisors is an integer number (1887480).

Almost surely, 2^37145440 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 37145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45299520).

37145440 is an abundant number, since it is smaller than the sum of its proper divisors (53453600).

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

37145440 is a wasteful number, since it uses less digits than its factorization.

37145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7535 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 37145440 is about 6094.7058993851. The cubic root of 37145440 is about 333.6582254547.

The spelling of 37145440 in words is "thirty-seven million, one hundred forty-five thousand, four hundred forty".