37798848 has 84 divisors (see below), whose sum is σ = 109362240. Its totient is φ = 12481536.

The previous prime is 37798841. The next prime is 37798853. The reversal of 37798848 is 84889773.

It is a junction number, because it is equal to n+sod(n) for n = 37798794 and 37798803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37798841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78673 + ... + 79151.

Almost surely, 2^37798848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37798848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54681120).

37798848 is an abundant number, since it is smaller than the sum of its proper divisors (71563392).

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

37798848 is a wasteful number, since it uses less digits than its factorization.

37798848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 37798848 is about 6148.0767724549. The cubic root of 37798848 is about 335.6032732521.

It can be divided in two parts, 377 and 98848, that added together give a square (99225 = 315²).

The spelling of 37798848 in words is "thirty-seven million, seven hundred ninety-eight thousand, eight hundred forty-eight".