39729690 has 320 divisors, whose sum is σ = 146361600. Its totient is φ = 7620480.

The previous prime is 39729673. The next prime is 39729691. The reversal of 39729690 is 9692793.

39729690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39729690² = 3156896534992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39729691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3056124 + ... + 3056136.

It is an arithmetic number, because the mean of its divisors is an integer number (457380).

Almost surely, 2^39729690 is an apocalyptic number.

39729690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39729690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

39729690 is an abundant number, since it is smaller than the sum of its proper divisors (106631910).

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

39729690 is a wasteful number, since it uses less digits than its factorization.

39729690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 39729690 is about 6303.1492128935. The cubic root of 39729690 is about 341.2230747987.

It can be divided in two parts, 397296 and 90, that added together give a triangular number (397386 = T₈₉₁).

The spelling of 39729690 in words is "thirty-nine million, seven hundred twenty-nine thousand, six hundred ninety".