31434354400 has 72 divisors (see below), whose sum is σ = 77210230104. Its totient is φ = 12496550400.

The previous prime is 31434354383. The next prime is 31434354437. The reversal of 31434354400 is 445343413.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9870 + ... + 250930.

It is an arithmetic number, because the mean of its divisors is an integer number (1072364307).

Almost surely, 2^31434354400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31434354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38605115052).

31434354400 is an abundant number, since it is smaller than the sum of its proper divisors (45775875704).

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

31434354400 is a wasteful number, since it uses less digits than its factorization.

31434354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241244 (or 241231 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 31434354400 its reverse (445343413), we get a palindrome (31879697813).

The spelling of 31434354400 in words is "thirty-one billion, four hundred thirty-four million, three hundred fifty-four thousand, four hundred".