3022406006400 has 1728 divisors, whose sum is σ = 12770516116800. Its totient is φ = 699616051200.

The previous prime is 3022406006371. The next prime is 3022406006467. The reversal of 3022406006400 is 46006042203.

3022406006400 is a `hidden beast` number, since 30 + 2 + 24 + 0 + 600 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×3022406006400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5311785316 + ... + 5311785884.

It is an arithmetic number, because the mean of its divisors is an integer number (7390344975).

Almost surely, 2^{3022406006400} is an apocalyptic number.

3022406006400 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 3022406006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385258058400).

3022406006400 is an abundant number, since it is smaller than the sum of its proper divisors (9748110110400).

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

3022406006400 is an equidigital number, since it uses as much as digits as its factorization.

3022406006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 3022406006400 in words is "three trillion, twenty-two billion, four hundred six million, six thousand, four hundred".