31034666880 has 768 divisors, whose sum is σ = 136563148800. Its totient is φ = 6322323456.

The previous prime is 31034666837. The next prime is 31034666881. The reversal of 31034666880 is 8866643013.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31034666881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13022169 + ... + 13024551.

It is an arithmetic number, because the mean of its divisors is an integer number (177816600).

Almost surely, 2^31034666880 is an apocalyptic number.

31034666880 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 31034666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68281574400).

31034666880 is an abundant number, since it is smaller than the sum of its proper divisors (105528481920).

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

31034666880 is a wasteful number, since it uses less digits than its factorization.

31034666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 31034666880 in words is "thirty-one billion, thirty-four million, six hundred sixty-six thousand, eight hundred eighty".