37131738 has 96 divisors (see below), whose sum is σ = 93634560. Its totient is φ = 9603360.

The previous prime is 37131733. The next prime is 37131751. The reversal of 37131738 is 83713173.

It is a junction number, because it is equal to n+sod(n) for n = 37131699 and 37131708.

It is not an unprimeable number, because it can be changed into a prime (37131733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469983 + ... + 470061.

It is an arithmetic number, because the mean of its divisors is an integer number (975360).

Almost surely, 2^37131738 is an apocalyptic number.

37131738 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 37131738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817280).

37131738 is an abundant number, since it is smaller than the sum of its proper divisors (56502822).

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

37131738 is a wasteful number, since it uses less digits than its factorization.

37131738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its digits is 10584, while the sum is 33.

The square root of 37131738 is about 6093.5817053684. The cubic root of 37131738 is about 333.6171944223.

The spelling of 37131738 in words is "thirty-seven million, one hundred thirty-one thousand, seven hundred thirty-eight".