30881867400 has 72 divisors (see below), whose sum is σ = 103711610730. Its totient is φ = 8235164160.

The previous prime is 30881867377. The next prime is 30881867407. The reversal of 30881867400 is 476818803.

It can be written as a sum of positive squares in 3 ways, for example, as 18890303364 + 11991564036 = 137442^2 + 109506^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30881867400² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30881867407) 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 17 ways as a sum of consecutive naturals, for example, 8576497 + ... + 8580096.

Almost surely, 2^30881867400 is an apocalyptic number.

30881867400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30881867400 is an abundant number, since it is smaller than the sum of its proper divisors (72829743330).

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

30881867400 is a wasteful number, since it uses less digits than its factorization.

30881867400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17156615 (or 17156603 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 30881867400 in words is "thirty billion, eight hundred eighty-one million, eight hundred sixty-seven thousand, four hundred".