37427040 has 288 divisors, whose sum is σ = 150958080. Its totient is φ = 8266752.

The previous prime is 37427021. The next prime is 37427053. The reversal of 37427040 is 4072473.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 37426995 and 37427013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473721 + ... + 473799.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^37427040 is an apocalyptic number.

37427040 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 37427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

37427040 is an abundant number, since it is smaller than the sum of its proper divisors (113531040).

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

37427040 is a wasteful number, since it uses less digits than its factorization.

37427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 37427040 is about 6117.7642975192. The cubic root of 37427040 is about 334.4992593172.

The spelling of 37427040 in words is "thirty-seven million, four hundred twenty-seven thousand, forty".