3955904000 has 160 divisors (see below), whose sum is σ = 9969781536. Its totient is φ = 1565491200.

The previous prime is 3955903997. The next prime is 3955904009. The reversal of 3955904000 is 4095593.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3955904009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7231727 + ... + 7232273.

Almost surely, 2^3955904000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984890768).

3955904000 is an abundant number, since it is smaller than the sum of its proper divisors (6013877536).

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

3955904000 is an equidigital number, since it uses as much as digits as its factorization.

3955904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 3955904000 is about 62895.9776138347. The cubic root of 3955904000 is about 1581.5463150317.

Adding to 3955904000 its reverse (4095593), we get a palindrome (3959999593).

The spelling of 3955904000 in words is "three billion, nine hundred fifty-five million, nine hundred four thousand".