3843845406720 has 720 divisors, whose sum is σ = 15006174543360. Its totient is φ = 901722931200.

The previous prime is 3843845406697. The next prime is 3843845406757. The reversal of 3843845406720 is 276045483483.

3843845406720 is a `hidden beast` number, since 3 + 8 + 4 + 38 + 4 + 540 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×3843845406720³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251404836 + ... + 251420124.

It is an arithmetic number, because the mean of its divisors is an integer number (20841909088).

Almost surely, 2^{3843845406720} is an apocalyptic number.

3843845406720 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 3843845406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503087271680).

3843845406720 is an abundant number, since it is smaller than the sum of its proper divisors (11162329136640).

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

3843845406720 is a wasteful number, since it uses less digits than its factorization.

3843845406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15370 (or 15341 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3843845406720 in words is "three trillion, eight hundred forty-three billion, eight hundred forty-five million, four hundred six thousand, seven hundred twenty".