3955476000 has 576 divisors, whose sum is σ = 15614726400. Its totient is φ = 874944000.

The previous prime is 3955475999. The next prime is 3955476011. The reversal of 3955476000 is 6745593.

It is a self number, because there is not a number n which added to its sum of digits gives 3955476000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127595985 + ... + 127596015.

It is an arithmetic number, because the mean of its divisors is an integer number (27108900).

Almost surely, 2^3955476000 is an apocalyptic number.

3955476000 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 3955476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7807363200).

3955476000 is an abundant number, since it is smaller than the sum of its proper divisors (11659250400).

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

3955476000 is an equidigital number, since it uses as much as digits as its factorization.

3955476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 3955476000 is about 62892.5750784622. The cubic root of 3955476000 is about 1581.4892757105.

It can be divided in two parts, 395 and 5476000, that added together give a triangular number (5476395 = T₃₃₀₉).

The spelling of 3955476000 in words is "three billion, nine hundred fifty-five million, four hundred seventy-six thousand".