39978120 has 192 divisors, whose sum is σ = 150534720. Its totient is φ = 8418816.

The previous prime is 39978097. The next prime is 39978121. The reversal of 39978120 is 2187993.

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

It is not an unprimeable number, because it can be changed into a prime (39978121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76179 + ... + 76701.

It is an arithmetic number, because the mean of its divisors is an integer number (784035).

Almost surely, 2^39978120 is an apocalyptic number.

39978120 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 39978120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75267360).

39978120 is an abundant number, since it is smaller than the sum of its proper divisors (110556600).

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

39978120 is a wasteful number, since it uses less digits than its factorization.

39978120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 39978120 is about 6322.8253178464. The cubic root of 39978120 is about 341.9328208392.

The spelling of 39978120 in words is "thirty-nine million, nine hundred seventy-eight thousand, one hundred twenty".