3945499806600 has 576 divisors, whose sum is σ = 14883202414080. Its totient is φ = 928381440000.

The previous prime is 3945499806593. The next prime is 3945499806637. The reversal of 3945499806600 is 66089945493.

3945499806600 is a `hidden beast` number, since 3 + 9 + 4 + 5 + 499 + 80 + 6 + 60 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159912265 + ... + 159936935.

It is an arithmetic number, because the mean of its divisors is an integer number (25838893080).

Almost surely, 2^{3945499806600} is an apocalyptic number.

3945499806600 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 3945499806600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441601207040).

3945499806600 is an abundant number, since it is smaller than the sum of its proper divisors (10937702607480).

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

3945499806600 is a wasteful number, since it uses less digits than its factorization.

3945499806600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24942 (or 24930 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3945499806600 in words is "three trillion, nine hundred forty-five billion, four hundred ninety-nine million, eight hundred six thousand, six hundred".