39487316400 has 1440 divisors, whose sum is σ = 176688691200. Its totient is φ = 8331724800.

The previous prime is 39487316347. The next prime is 39487316417. The reversal of 39487316400 is 461378493.

39487316400 is a `hidden beast` number, since 3 + 9 + 487 + 3 + 164 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 475750759 + ... + 475750841.

It is an arithmetic number, because the mean of its divisors is an integer number (122700480).

Almost surely, 2^39487316400 is an apocalyptic number.

39487316400 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 39487316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88344345600).

39487316400 is an abundant number, since it is smaller than the sum of its proper divisors (137201374800).

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

39487316400 is a wasteful number, since it uses less digits than its factorization.

39487316400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 39487316400 in words is "thirty-nine billion, four hundred eighty-seven million, three hundred sixteen thousand, four hundred".