3947945803200 has 504 divisors, whose sum is σ = 16134943730048. Its totient is φ = 896847759360.

The previous prime is 3947945803181. The next prime is 3947945803247. The reversal of 3947945803200 is 23085497493.

3947945803200 is a `hidden beast` number, since 3 + 94 + 79 + 458 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16310259 + ... + 16550541.

Almost surely, 2^{3947945803200} is an apocalyptic number.

3947945803200 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 3947945803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067471865024).

3947945803200 is an abundant number, since it is smaller than the sum of its proper divisors (12186997926848).

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

3947945803200 is a wasteful number, since it uses less digits than its factorization.

3947945803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240481 (or 240463 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3947945803200 in words is "three trillion, nine hundred forty-seven billion, nine hundred forty-five million, eight hundred three thousand, two hundred".