39686976 has 224 divisors, whose sum is σ = 141914880. Its totient is φ = 10616832.

The previous prime is 39686923. The next prime is 39686987. The reversal of 39686976 is 67968693.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×39686976³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205536 + ... + 205728.

Almost surely, 2^39686976 is an apocalyptic number.

39686976 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 39686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70957440).

39686976 is an abundant number, since it is smaller than the sum of its proper divisors (102227904).

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

39686976 is a wasteful number, since it uses less digits than its factorization.

39686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 39686976 is about 6299.7599954284. The cubic root of 39686976 is about 341.1007462260.

The spelling of 39686976 in words is "thirty-nine million, six hundred eighty-six thousand, nine hundred seventy-six".