3845345400 has 720 divisors, whose sum is σ = 15643920600. Its totient is φ = 867801600.

The previous prime is 3845345347. The next prime is 3845345407. The reversal of 3845345400 is 45435483.

3845345400 is a `hidden beast` number, since 3 + 84 + 5 + 34 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845345407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 124043385 + ... + 124043415.

Almost surely, 2^3845345400 is an apocalyptic number.

3845345400 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 3845345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821960300).

3845345400 is an abundant number, since it is smaller than the sum of its proper divisors (11798575200).

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

3845345400 is a wasteful number, since it uses less digits than its factorization.

3845345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3845345400 is about 62010.8490507911. The cubic root of 3845345400 is about 1566.6733353169.

The spelling of 3845345400 in words is "three billion, eight hundred forty-five million, three hundred forty-five thousand, four hundred".