3847845939840 has 576 divisors, whose sum is σ = 16269932484000. Its totient is φ = 833216606208.

The previous prime is 3847845939823. The next prime is 3847845939901. The reversal of 3847845939840 is 489395487483.

3847845939840 is a `hidden beast` number, since 3 + 8 + 47 + 8 + 459 + 3 + 98 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 5003791 + ... + 5721329.

Almost surely, 2^{3847845939840} is an apocalyptic number.

3847845939840 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 3847845939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134966242000).

3847845939840 is an abundant number, since it is smaller than the sum of its proper divisors (12422086544160).

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

3847845939840 is a wasteful number, since it uses less digits than its factorization.

3847845939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717597 (or 717575 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 3847845939840 in words is "three trillion, eight hundred forty-seven billion, eight hundred forty-five million, nine hundred thirty-nine thousand, eight hundred forty".