31834865340 has 144 divisors (see below), whose sum is σ = 104015149056. Its totient is φ = 7858224000.

The previous prime is 31834865311. The next prime is 31834865353. The reversal of 31834865340 is 4356843813.

31834865340 is a `hidden beast` number, since 3 + 1 + 8 + 34 + 86 + 534 + 0 = 666.

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

It is a congruent number.

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, 4315 + ... + 252365.

It is an arithmetic number, because the mean of its divisors is an integer number (722327424).

Almost surely, 2^31834865340 is an apocalyptic number.

31834865340 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 31834865340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52007574528).

31834865340 is an abundant number, since it is smaller than the sum of its proper divisors (72180283716).

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

31834865340 is a wasteful number, since it uses less digits than its factorization.

31834865340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248120 (or 248115 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 31834865340 in words is "thirty-one billion, eight hundred thirty-four million, eight hundred sixty-five thousand, three hundred forty".