37949648 has 40 divisors (see below), whose sum is σ = 80619840. Its totient is φ = 17162240.

The previous prime is 37949647. The next prime is 37949657. The reversal of 37949648 is 84694973.

It is a junction number, because it is equal to n+sod(n) for n = 37949596 and 37949605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37949647) 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, 44813 + ... + 45651.

It is an arithmetic number, because the mean of its divisors is an integer number (2015496).

Almost surely, 2^37949648 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 37949648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40309920).

37949648 is an abundant number, since it is smaller than the sum of its proper divisors (42670192).

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

37949648 is a wasteful number, since it uses less digits than its factorization.

37949648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1109 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 37949648 is about 6160.3285626661. The cubic root of 37949648 is about 336.0489818992.

The spelling of 37949648 in words is "thirty-seven million, nine hundred forty-nine thousand, six hundred forty-eight".