31349242080 has 240 divisors, whose sum is σ = 119147855904. Its totient is φ = 7716695040.

The previous prime is 31349242069. The next prime is 31349242087. The reversal of 31349242080 is 8024294313.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31349242087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75445 + ... + 261515.

Almost surely, 2^31349242080 is an apocalyptic number.

31349242080 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 31349242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59573927952).

31349242080 is an abundant number, since it is smaller than the sum of its proper divisors (87798613824).

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

31349242080 is a wasteful number, since it uses less digits than its factorization.

31349242080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186111 (or 186094 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 31349242080 in words is "thirty-one billion, three hundred forty-nine million, two hundred forty-two thousand, eighty".