37837998 has 96 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 10857600.

The previous prime is 37837993. The next prime is 37838027. The reversal of 37837998 is 89973873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37837991) 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, 478923 + ... + 479001.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^37837998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37837998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

37837998 is an abundant number, since it is smaller than the sum of its proper divisors (56510802).

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

37837998 is a wasteful number, since it uses less digits than its factorization.

37837998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 37837998 is about 6151.2598709533. The cubic root of 37837998 is about 335.7190998383.

It can be divided in two parts, 3783 and 7998, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 37837998 in words is "thirty-seven million, eight hundred thirty-seven thousand, nine hundred ninety-eight".