3012021434400 has 864 divisors, whose sum is σ = 11000206316736. Its totient is φ = 709862400000.

The previous prime is 3012021434369. The next prime is 3012021434419. The reversal of 3012021434400 is 44341202103.

3012021434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3012021434400³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16641002310 + ... + 16641002490.

It is an arithmetic number, because the mean of its divisors is an integer number (12731720274).

Almost surely, 2^{3012021434400} is an apocalyptic number.

3012021434400 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 3012021434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500103158368).

3012021434400 is an abundant number, since it is smaller than the sum of its proper divisors (7988184882336).

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

3012021434400 is a wasteful number, since it uses less digits than its factorization.

3012021434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3012021434400 its reverse (44341202103), we get a palindrome (3056362636503).

The spelling of 3012021434400 in words is "three trillion, twelve billion, twenty-one million, four hundred thirty-four thousand, four hundred".