3885309542400 has 720 divisors, whose sum is σ = 15093698608128. Its totient is φ = 869400576000.

The previous prime is 3885309542341. The next prime is 3885309542459. The reversal of 3885309542400 is 42459035883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3885309542341) and next prime (3885309542459).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175707345 + ... + 175729455.

Almost surely, 2^{3885309542400} is an apocalyptic number.

3885309542400 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 3885309542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546849304064).

3885309542400 is an abundant number, since it is smaller than the sum of its proper divisors (11208389065728).

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

3885309542400 is a wasteful number, since it uses less digits than its factorization.

3885309542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22176 (or 22145 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 3885309542400 in words is "three trillion, eight hundred eighty-five billion, three hundred nine million, five hundred forty-two thousand, four hundred".