37896138 has 48 divisors (see below), whose sum is σ = 95259840. Its totient is φ = 10665864.

The previous prime is 37896137. The next prime is 37896149. The reversal of 37896138 is 83169873.

It is a happy number.

37896138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×37896138² = 2872234550630088, which contains 22 as substring.

Its product of digits (217728) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 37896093 and 37896102.

It is not an unprimeable number, because it can be changed into a prime (37896137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565581 + ... + 565647.

It is an arithmetic number, because the mean of its divisors is an integer number (1984580).

Almost surely, 2^37896138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37896138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47629920).

37896138 is an abundant number, since it is smaller than the sum of its proper divisors (57363702).

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

37896138 is an frugal number, since it uses more digits than its factorization.

37896138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 79 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 37896138 is about 6155.9839181076. The cubic root of 37896138 is about 335.8909616426.

The spelling of 37896138 in words is "thirty-seven million, eight hundred ninety-six thousand, one hundred thirty-eight".