3955161600 has 720 divisors, whose sum is σ = 16160944800. Its totient is φ = 915701760.

The previous prime is 3955161559. The next prime is 3955161631. The reversal of 3955161600 is 61615593.

3955161600 is a `hidden beast` number, since 39 + 5 + 5 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3955161600² = 31286606564229120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28454331 + ... + 28454469.

Almost surely, 2^3955161600 is an apocalyptic number.

3955161600 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 3955161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8080472400).

3955161600 is an abundant number, since it is smaller than the sum of its proper divisors (12205783200).

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

3955161600 is a wasteful number, since it uses less digits than its factorization.

3955161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 3955161600 is about 62890.0755286556. The cubic root of 3955161600 is about 1581.4473731765.

The spelling of 3955161600 in words is "three billion, nine hundred fifty-five million, one hundred sixty-one thousand, six hundred".