3845049600 has 648 divisors, whose sum is σ = 15227129568. Its totient is φ = 851558400.

The previous prime is 3845049581. The next prime is 3845049631. The reversal of 3845049600 is 69405483.

It is a congruent number.

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, 57388767 + ... + 57388833.

Almost surely, 2^3845049600 is an apocalyptic number.

3845049600 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 3845049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613564784).

3845049600 is an abundant number, since it is smaller than the sum of its proper divisors (11382079968).

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

3845049600 is a wasteful number, since it uses less digits than its factorization.

3845049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3845049600 is about 62008.4639384012. The cubic root of 3845049600 is about 1566.6331626053.

The spelling of 3845049600 in words is "three billion, eight hundred forty-five million, forty-nine thousand, six hundred".