37398 has 16 divisors (see below), whose sum is σ = 78336. Its totient is φ = 11880.

The previous prime is 37397. The next prime is 37409. The reversal of 37398 is 89373.

It is a super-4 number, since 4×37398⁴ = 7824444248708172864, which contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37397) 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, 3 + ... + 273.

It is an arithmetic number, because the mean of its divisors is an integer number (4896).

2³⁷³⁹⁸ is an apocalyptic number.

37398 is an abundant number, since it is smaller than the sum of its proper divisors (40938).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168).

37398 is a wasteful number, since it uses less digits than its factorization.

37398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299.

The product of its digits is 4536, while the sum is 30.

The square root of 37398 is about 193.3856251121. The cubic root of 37398 is about 33.4412723202.

It can be divided in two parts, 37 and 398, that added together give a triangular number (435 = T₂₉).

The spelling of 37398 in words is "thirty-seven thousand, three hundred ninety-eight".