31878952704 has 576 divisors, whose sum is σ = 106843968000. Its totient is φ = 9316270080.

The previous prime is 31878952691. The next prime is 31878952739. The reversal of 31878952704 is 40725987813.

It is a happy number.

31878952704 is a `hidden beast` number, since 31 + 8 + 7 + 89 + 527 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243350719 + ... + 243350849.

It is an arithmetic number, because the mean of its divisors is an integer number (185493000).

Almost surely, 2^31878952704 is an apocalyptic number.

31878952704 is a gapful number since it is divisible by the number (34) 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 31878952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421984000).

31878952704 is an abundant number, since it is smaller than the sum of its proper divisors (74965015296).

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

31878952704 is a wasteful number, since it uses less digits than its factorization.

31878952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 31878952704 in words is "thirty-one billion, eight hundred seventy-eight million, nine hundred fifty-two thousand, seven hundred four".