3425241600 has 960 divisors, whose sum is σ = 14796017280. Its totient is φ = 766771200.

The previous prime is 3425241577. The next prime is 3425241613. The reversal of 3425241600 is 61425243.

3425241600 is a `hidden beast` number, since 3 + 4 + 2 + 52 + 4 + 1 + 600 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 64627174 + ... + 64627226.

It is an arithmetic number, because the mean of its divisors is an integer number (15412518).

Almost surely, 2^3425241600 is an apocalyptic number.

3425241600 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 3425241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398008640).

3425241600 is an abundant number, since it is smaller than the sum of its proper divisors (11370775680).

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

3425241600 is a wasteful number, since it uses less digits than its factorization.

3425241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3425241600 is about 58525.5636452995. The cubic root of 3425241600 is about 1507.4065683041.

Adding to 3425241600 its reverse (61425243), we get a palindrome (3486666843).

It can be divided in two parts, 3425 and 241600, that added together give a square (245025 = 495²).

The spelling of 3425241600 in words is "three billion, four hundred twenty-five million, two hundred forty-one thousand, six hundred".