3895516800 has 960 divisors, whose sum is σ = 17446651200. Its totient is φ = 836075520.

The previous prime is 3895516787. The next prime is 3895516811. The reversal of 3895516800 is 86155983.

3895516800 is a `hidden beast` number, since 38 + 9 + 551 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3895516800² = 30350102278164480000, which contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 34473544 + ... + 34473656.

It is an arithmetic number, because the mean of its divisors is an integer number (18173595).

Almost surely, 2^3895516800 is an apocalyptic number.

3895516800 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 3895516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8723325600).

3895516800 is an abundant number, since it is smaller than the sum of its proper divisors (13551134400).

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

3895516800 is a wasteful number, since it uses less digits than its factorization.

3895516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 3895516800 is about 62414.0753356164. The cubic root of 3895516800 is about 1573.4575375150.

It can be divided in two parts, 38955 and 16800, that added together give a palindrome (55755).

The spelling of 3895516800 in words is "three billion, eight hundred ninety-five million, five hundred sixteen thousand, eight hundred".