3945849600 has 864 divisors, whose sum is σ = 17299892736. Its totient is φ = 766771200.

The previous prime is 3945849587. The next prime is 3945849619. The reversal of 3945849600 is 69485493.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3945849600.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25132722 + ... + 25132878.

It is an arithmetic number, because the mean of its divisors is an integer number (20023024).

Almost surely, 2^3945849600 is an apocalyptic number.

3945849600 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 3945849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8649946368).

3945849600 is an abundant number, since it is smaller than the sum of its proper divisors (13354043136).

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

3945849600 is a wasteful number, since it uses less digits than its factorization.

3945849600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 3945849600 is about 62815.9979623026. The cubic root of 3945849600 is about 1580.2052823057.

The spelling of 3945849600 in words is "three billion, nine hundred forty-five million, eight hundred forty-nine thousand, six hundred".