3954825600 has 384 divisors, whose sum is σ = 15053143680. Its totient is φ = 901939200.

The previous prime is 3954825517. The next prime is 3954825607. The reversal of 3954825600 is 65284593.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3954825607) 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 47 ways as a sum of consecutive naturals, for example, 1794099 + ... + 1796301.

It is an arithmetic number, because the mean of its divisors is an integer number (39200895).

Almost surely, 2^3954825600 is an apocalyptic number.

3954825600 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 3954825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526571840).

3954825600 is an abundant number, since it is smaller than the sum of its proper divisors (11098318080).

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

3954825600 is a wasteful number, since it uses less digits than its factorization.

3954825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3954825600 is about 62887.4041442323. The cubic root of 3954825600 is about 1581.4025893877.

The spelling of 3954825600 in words is "three billion, nine hundred fifty-four million, eight hundred twenty-five thousand, six hundred".