39890880 has 252 divisors, whose sum is σ = 149976840. Its totient is φ = 10077696.

The previous prime is 39890849. The next prime is 39890881. The reversal of 39890880 is 8809893.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39890881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2099511 + ... + 2099529.

Almost surely, 2^39890880 is an apocalyptic number.

39890880 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 39890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74988420).

39890880 is an abundant number, since it is smaller than the sum of its proper divisors (110085960).

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

39890880 is an frugal number, since it uses more digits than its factorization.

39890880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 39890880 is about 6315.9227354362. The cubic root of 39890880 is about 341.6839184891.

The spelling of 39890880 in words is "thirty-nine million, eight hundred ninety thousand, eight hundred eighty".