39801960 has 288 divisors, whose sum is σ = 155282400. Its totient is φ = 8743680.

The previous prime is 39801959. The next prime is 39801989. The reversal of 39801960 is 6910893.

39801960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1730509 + ... + 1730531.

It is an arithmetic number, because the mean of its divisors is an integer number (539175).

Almost surely, 2^39801960 is an apocalyptic number.

39801960 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 39801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77641200).

39801960 is an abundant number, since it is smaller than the sum of its proper divisors (115480440).

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

39801960 is a wasteful number, since it uses less digits than its factorization.

39801960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 39801960 is about 6308.8794567657. The cubic root of 39801960 is about 341.4298492459.

The spelling of 39801960 in words is "thirty-nine million, eight hundred one thousand, nine hundred sixty".