39778248 has 64 divisors (see below), whose sum is σ = 106041600. Its totient is φ = 12398400.

The previous prime is 39778237. The next prime is 39778253. The reversal of 39778248 is 84287793.

It is a Cunningham number, because it is equal to 6307²-1.

It is a junction number, because it is equal to n+sod(n) for n = 39778197 and 39778206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37323 + ... + 38373.

It is an arithmetic number, because the mean of its divisors is an integer number (1656900).

Almost surely, 2^39778248 is an apocalyptic number.

39778248 is a gapful number since it is divisible by the number (38) 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 39778248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53020800).

39778248 is an abundant number, since it is smaller than the sum of its proper divisors (66263352).

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

39778248 is a wasteful number, since it uses less digits than its factorization.

39778248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1158 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 39778248 is about 6306.9999207230. Note that the first 4 decimals coincide. The cubic root of 39778248 is about 341.3620335500.

The spelling of 39778248 in words is "thirty-nine million, seven hundred seventy-eight thousand, two hundred forty-eight".