3135224400 has 240 divisors, whose sum is σ = 12521722368. Its totient is φ = 651456000.

The previous prime is 3135224359. The next prime is 3135224419. The reversal of 3135224400 is 44225313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 75435 + ... + 109365.

Almost surely, 2^3135224400 is an apocalyptic number.

3135224400 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 3135224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260861184).

3135224400 is an abundant number, since it is smaller than the sum of its proper divisors (9386497968).

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

3135224400 is a wasteful number, since it uses less digits than its factorization.

3135224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33970 (or 33959 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3135224400 is about 55993.0745717718. The cubic root of 3135224400 is about 1463.6016040976.

Adding to 3135224400 its reverse (44225313), we get a palindrome (3179449713).

The spelling of 3135224400 in words is "three billion, one hundred thirty-five million, two hundred twenty-four thousand, four hundred".