31374346080 has 768 divisors, whose sum is σ = 128755630080. Its totient is φ = 6231859200.

The previous prime is 31374346079. The next prime is 31374346097. The reversal of 31374346080 is 8064347313.

It is a super-2 number, since 2×31374346080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 159260542 + ... + 159260738.

It is an arithmetic number, because the mean of its divisors is an integer number (167650560).

Almost surely, 2^31374346080 is an apocalyptic number.

31374346080 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 31374346080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64377815040).

31374346080 is an abundant number, since it is smaller than the sum of its proper divisors (97381284000).

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

31374346080 is a wasteful number, since it uses less digits than its factorization.

31374346080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 31374346080 in words is "thirty-one billion, three hundred seventy-four million, three hundred forty-six thousand, eighty".