39948336 has 160 divisors (see below), whose sum is σ = 125388800. Its totient is φ = 12130560.

The previous prime is 39948331. The next prime is 39948347. The reversal of 39948336 is 63384993.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 39948291 and 39948300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39948331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254370 + ... + 254526.

It is an arithmetic number, because the mean of its divisors is an integer number (783680).

Almost surely, 2^39948336 is an apocalyptic number.

39948336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39948336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62694400).

39948336 is an abundant number, since it is smaller than the sum of its proper divisors (85440464).

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

39948336 is a wasteful number, since it uses less digits than its factorization.

39948336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 39948336 is about 6320.4696028064. The cubic root of 39948336 is about 341.8478855691.

The spelling of 39948336 in words is "thirty-nine million, nine hundred forty-eight thousand, three hundred thirty-six".