31768341696 has 1120 divisors, whose sum is σ = 127492556800. Its totient is φ = 7681443840.

The previous prime is 31768341679. The next prime is 31768341739. The reversal of 31768341696 is 69614386713.

It is a happy number.

It is a super-2 number, since 2×31768341696² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3919104) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1024785201 + ... + 1024785231.

It is an arithmetic number, because the mean of its divisors is an integer number (113832640).

Almost surely, 2^31768341696 is an apocalyptic number.

31768341696 is a gapful number since it is divisible by the number (36) 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 31768341696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63746278400).

31768341696 is an abundant number, since it is smaller than the sum of its proper divisors (95724215104).

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

31768341696 is a wasteful number, since it uses less digits than its factorization.

31768341696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 31768341696 in words is "thirty-one billion, seven hundred sixty-eight million, three hundred forty-one thousand, six hundred ninety-six".