39125280 has 96 divisors (see below), whose sum is σ = 126633024. Its totient is φ = 10146816.

The previous prime is 39125257. The next prime is 39125297. The reversal of 39125280 is 8252193.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16659 + ... + 18861.

It is an arithmetic number, because the mean of its divisors is an integer number (1319094).

Almost surely, 2^39125280 is an apocalyptic number.

39125280 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 39125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63316512).

39125280 is an abundant number, since it is smaller than the sum of its proper divisors (87507744).

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

39125280 is a wasteful number, since it uses less digits than its factorization.

39125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 39125280 is about 6255.0203836598. The cubic root of 39125280 is about 339.4838766624.

The spelling of 39125280 in words is "thirty-nine million, one hundred twenty-five thousand, two hundred eighty".