39876480 has 384 divisors, whose sum is σ = 168030720. Its totient is φ = 8515584.

The previous prime is 39876467. The next prime is 39876481. The reversal of 39876480 is 8467893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 (39876481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927339 + ... + 927381.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^39876480 is an apocalyptic number.

39876480 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 39876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

39876480 is an abundant number, since it is smaller than the sum of its proper divisors (128154240).

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

39876480 is a wasteful number, since it uses less digits than its factorization.

39876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 39876480 is about 6314.7826565924. The cubic root of 39876480 is about 341.6427993110.

The spelling of 39876480 in words is "thirty-nine million, eight hundred seventy-six thousand, four hundred eighty".