3949847193600 has 5184 divisors, whose sum is σ = 20228005324800. Its totient is φ = 752467968000.

The previous prime is 3949847193599. The next prime is 3949847193613. The reversal of 3949847193600 is 63917489493.

3949847193600 is a `hidden beast` number, since 3 + 9 + 4 + 9 + 8 + 4 + 7 + 19 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 127414425585 + ... + 127414425615.

It is an arithmetic number, because the mean of its divisors is an integer number (3902007200).

Almost surely, 2^{3949847193600} is an apocalyptic number.

3949847193600 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 3949847193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114002662400).

3949847193600 is an abundant number, since it is smaller than the sum of its proper divisors (16278158131200).

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

3949847193600 is a wasteful number, since it uses less digits than its factorization.

3949847193600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3949847193600 in words is "three trillion, nine hundred forty-nine billion, eight hundred forty-seven million, one hundred ninety-three thousand, six hundred".