39801120 has 96 divisors (see below), whose sum is σ = 126245952. Its totient is φ = 10540032.

The previous prime is 39801107. The next prime is 39801127. The reversal of 39801120 is 2110893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×39801120⁴ (a number of 32 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (39801127) 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 15 ways as a sum of consecutive naturals, for example, 135694 + ... + 135986.

It is an arithmetic number, because the mean of its divisors is an integer number (1315062).

Almost surely, 2^39801120 is an apocalyptic number.

39801120 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 39801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63122976).

39801120 is an abundant number, since it is smaller than the sum of its proper divisors (86444832).

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

39801120 is a wasteful number, since it uses less digits than its factorization.

39801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 39801120 is about 6308.8128835780. The cubic root of 39801120 is about 341.4274473282.

The spelling of 39801120 in words is "thirty-nine million, eight hundred one thousand, one hundred twenty".