31634213700 has 144 divisors (see below), whose sum is σ = 97013415744. Its totient is φ = 7931289600.

The previous prime is 31634213651. The next prime is 31634213701. The reversal of 31634213700 is 731243613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31634213701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5969452 + ... + 5974748.

It is an arithmetic number, because the mean of its divisors is an integer number (673704276).

Almost surely, 2^31634213700 is an apocalyptic number.

31634213700 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 31634213700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48506707872).

31634213700 is an abundant number, since it is smaller than the sum of its proper divisors (65379202044).

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

31634213700 is a wasteful number, since it uses less digits than its factorization.

31634213700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6495 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 31634213700 in words is "thirty-one billion, six hundred thirty-four million, two hundred thirteen thousand, seven hundred".