3001535222400 has 1152 divisors, whose sum is σ = 13049076680640. Its totient is φ = 671647334400.

The previous prime is 3001535222393. The next prime is 3001535222417. The reversal of 3001535222400 is 42225351003.

It is a happy number.

3001535222400 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 5 + 35 + 222 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 111183304 + ... + 111210296.

Almost surely, 2^{3001535222400} is an apocalyptic number.

3001535222400 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 3001535222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524538340320).

3001535222400 is an abundant number, since it is smaller than the sum of its proper divisors (10047541458240).

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

3001535222400 is a wasteful number, since it uses less digits than its factorization.

3001535222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27056 (or 27027 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 3001535222400 in words is "three trillion, one billion, five hundred thirty-five million, two hundred twenty-two thousand, four hundred".