39806976 has 192 divisors, whose sum is σ = 125798400. Its totient is φ = 11059200.

The previous prime is 39806971. The next prime is 39806999. The reversal of 39806976 is 67960893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (39806971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284081 + ... + 1284111.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^39806976 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 39806976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

39806976 is an abundant number, since it is smaller than the sum of its proper divisors (85991424).

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

39806976 is a wasteful number, since it uses less digits than its factorization.

39806976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 39806976 is about 6309.2769791792. The cubic root of 39806976 is about 341.4441914222. Note that the first 3 decimals are identical.

The spelling of 39806976 in words is "thirty-nine million, eight hundred six thousand, nine hundred seventy-six".