39673920 has 336 divisors, whose sum is σ = 157203648. Its totient is φ = 8355840.

The previous prime is 39673913. The next prime is 39673927. The reversal of 39673920 is 2937693.

It is an interprime number because it is at equal distance from previous prime (39673913) and next prime (39673927).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39673927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2333752 + ... + 2333768.

It is an arithmetic number, because the mean of its divisors is an integer number (467868).

Almost surely, 2^39673920 is an apocalyptic number.

39673920 is a gapful number since it is divisible by the number (30) 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 39673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78601824).

39673920 is an abundant number, since it is smaller than the sum of its proper divisors (117529728).

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

39673920 is a wasteful number, since it uses less digits than its factorization.

39673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 39673920 is about 6298.7236802387. The cubic root of 39673920 is about 341.0633376499.

It can be divided in two parts, 3967 and 3920, that added together give a palindrome (7887).

The spelling of 39673920 in words is "thirty-nine million, six hundred seventy-three thousand, nine hundred twenty".