3121430400 has 576 divisors, whose sum is σ = 12430454400. Its totient is φ = 739430400.

The previous prime is 3121430359. The next prime is 3121430423. The reversal of 3121430400 is 40341213.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18691117 + ... + 18691283.

It is an arithmetic number, because the mean of its divisors is an integer number (21580650).

Almost surely, 2^3121430400 is an apocalyptic number.

3121430400 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 3121430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

3121430400 is an abundant number, since it is smaller than the sum of its proper divisors (9309024000).

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

3121430400 is a wasteful number, since it uses less digits than its factorization.

3121430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3121430400 is about 55869.7628418092. The cubic root of 3121430400 is about 1461.4519864171.

Adding to 3121430400 its reverse (40341213), we get a palindrome (3161771613).

The spelling of 3121430400 in words is "three billion, one hundred twenty-one million, four hundred thirty thousand, four hundred".