3945253478400 has 1344 divisors, whose sum is σ = 15849538064640. Its totient is φ = 956222668800.

The previous prime is 3945253478389. The next prime is 3945253478401. The reversal of 3945253478400 is 48743525493.

3945253478400 is a `hidden beast` number, since 3 + 9 + 4 + 525 + 3 + 4 + 78 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3945253478401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5103820414 + ... + 5103821186.

It is an arithmetic number, because the mean of its divisors is an integer number (11792811060).

Almost surely, 2^{3945253478400} is an apocalyptic number.

3945253478400 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 3945253478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7924769032320).

3945253478400 is an abundant number, since it is smaller than the sum of its proper divisors (11904284586240).

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

3945253478400 is a wasteful number, since it uses less digits than its factorization.

3945253478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 3945253478400 in words is "three trillion, nine hundred forty-five billion, two hundred fifty-three million, four hundred seventy-eight thousand, four hundred".