31340601600 has 1728 divisors, whose sum is σ = 144530749440. Its totient is φ = 5780275200.

The previous prime is 31340601581. The next prime is 31340601623. The reversal of 31340601600 is 610604313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728851179 + ... + 728851221.

It is an arithmetic number, because the mean of its divisors is an integer number (83640480).

Almost surely, 2^31340601600 is an apocalyptic number.

31340601600 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 31340601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72265374720).

31340601600 is an abundant number, since it is smaller than the sum of its proper divisors (113190147840).

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

31340601600 is a wasteful number, since it uses less digits than its factorization.

31340601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 31340601600 in words is "thirty-one billion, three hundred forty million, six hundred one thousand, six hundred".