3847448957904 has 320 divisors, whose sum is σ = 11307506273280. Its totient is φ = 1252228032000.

The previous prime is 3847448957899. The next prime is 3847448957921. The reversal of 3847448957904 is 4097598447483.

3847448957904 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 4 + 48 + 9 + 579 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649141122 + ... + 1649143454.

It is an arithmetic number, because the mean of its divisors is an integer number (35335957104).

Almost surely, 2^{3847448957904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3847448957904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653753136640).

3847448957904 is an abundant number, since it is smaller than the sum of its proper divisors (7460057315376).

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

3847448957904 is a wasteful number, since it uses less digits than its factorization.

3847448957904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 3847448957904 in words is "three trillion, eight hundred forty-seven billion, four hundred forty-eight million, nine hundred fifty-seven thousand, nine hundred four".