31234031400 has 384 divisors, whose sum is σ = 117432483840. Its totient is φ = 6763392000.

The previous prime is 31234031399. The next prime is 31234031401. The reversal of 31234031400 is 413043213.

It is an interprime number because it is at equal distance from previous prime (31234031399) and next prime (31234031401).

It is not an unprimeable number, because it can be changed into a prime (31234031401) 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 95 ways as a sum of consecutive naturals, for example, 2653929 + ... + 2665671.

It is an arithmetic number, because the mean of its divisors is an integer number (305813760).

Almost surely, 2^31234031400 is an apocalyptic number.

31234031400 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 31234031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58716241920).

31234031400 is an abundant number, since it is smaller than the sum of its proper divisors (86198452440).

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

31234031400 is a wasteful number, since it uses less digits than its factorization.

31234031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31234031400 its reverse (413043213), we get a palindrome (31647074613).

The spelling of 31234031400 in words is "thirty-one billion, two hundred thirty-four million, thirty-one thousand, four hundred".