3955878000 has 200 divisors, whose sum is σ = 14289509520. Its totient is φ = 1054857600.

The previous prime is 3955877993. The next prime is 3955878001. The reversal of 3955878000 is 8785593.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955878001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149791 + ... + 174209.

Almost surely, 2^3955878000 is an apocalyptic number.

3955878000 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 3955878000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144754760).

3955878000 is an abundant number, since it is smaller than the sum of its proper divisors (10333631520).

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

3955878000 is a wasteful number, since it uses less digits than its factorization.

3955878000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24454 (or 24429 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 3955878000 is about 62895.7709230120. The cubic root of 3955878000 is about 1581.5428501436.

The spelling of 3955878000 in words is "three billion, nine hundred fifty-five million, eight hundred seventy-eight thousand".