31035828900 has 72 divisors (see below), whose sum is σ = 89817376320. Its totient is φ = 8274343040.

The previous prime is 31035828899. The next prime is 31035828907. The reversal of 31035828900 is 982853013.

It is a super-3 number, since 3×31035828900³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31035828907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1754902 + ... + 1772498.

It is an arithmetic number, because the mean of its divisors is an integer number (1247463560).

Almost surely, 2^31035828900 is an apocalyptic number.

31035828900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31035828900 is an abundant number, since it is smaller than the sum of its proper divisors (58781547420).

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

31035828900 is a wasteful number, since it uses less digits than its factorization.

31035828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23493 (or 23486 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 31035828900 in words is "thirty-one billion, thirty-five million, eight hundred twenty-eight thousand, nine hundred".