39499961688 has 320 divisors, whose sum is σ = 129467289600. Its totient is φ = 11123723520.

The previous prime is 39499961681. The next prime is 39499961713. The reversal of 39499961688 is 88616999493.

39499961688 is a `hidden beast` number, since 39 + 499 + 96 + 16 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39499961681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7175145 + ... + 7180647.

It is an arithmetic number, because the mean of its divisors is an integer number (404585280).

Almost surely, 2^39499961688 is an apocalyptic number.

39499961688 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 39499961688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733644800).

39499961688 is an abundant number, since it is smaller than the sum of its proper divisors (89967327912).

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

39499961688 is a wasteful number, since it uses less digits than its factorization.

39499961688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5591 counting only the distinct ones).

The product of its digits is 181398528, while the sum is 72.

The spelling of 39499961688 in words is "thirty-nine billion, four hundred ninety-nine million, nine hundred sixty-one thousand, six hundred eighty-eight".