31348388400 has 240 divisors, whose sum is σ = 114969427200. Its totient is φ = 7152583680.

The previous prime is 31348388347. The next prime is 31348388411. The reversal of 31348388400 is 488384313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5196586 + ... + 5202614.

It is an arithmetic number, because the mean of its divisors is an integer number (479039280).

Almost surely, 2^31348388400 is an apocalyptic number.

31348388400 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 31348388400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57484713600).

31348388400 is an abundant number, since it is smaller than the sum of its proper divisors (83621038800).

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

31348388400 is a wasteful number, since it uses less digits than its factorization.

31348388400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6676 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 31348388400 in words is "thirty-one billion, three hundred forty-eight million, three hundred eighty-eight thousand, four hundred".