3845294880 has 384 divisors, whose sum is σ = 14371209216. Its totient is φ = 846028800.

The previous prime is 3845294833. The next prime is 3845294897. The reversal of 3845294880 is 884925483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14189145 + ... + 14189415.

It is an arithmetic number, because the mean of its divisors is an integer number (37425024).

Almost surely, 2^3845294880 is an apocalyptic number.

3845294880 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 3845294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185604608).

3845294880 is an abundant number, since it is smaller than the sum of its proper divisors (10525914336).

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

3845294880 is a wasteful number, since it uses less digits than its factorization.

3845294880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The square root of 3845294880 is about 62010.4417013780. The cubic root of 3845294880 is about 1566.6664743222. Note that the first 3 decimals are identical.

The spelling of 3845294880 in words is "three billion, eight hundred forty-five million, two hundred ninety-four thousand, eight hundred eighty".