3425133600 has 504 divisors, whose sum is σ = 14344706880. Its totient is φ = 781954560.

The previous prime is 3425133589. The next prime is 3425133631. The reversal of 3425133600 is 63315243.

It is a happy number.

3425133600 is a `hidden beast` number, since 3 + 4 + 2 + 51 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 83 ways as a sum of consecutive naturals, for example, 4081981 + ... + 4082819.

It is an arithmetic number, because the mean of its divisors is an integer number (28461720).

Almost surely, 2^3425133600 is an apocalyptic number.

3425133600 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 3425133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172353440).

3425133600 is an abundant number, since it is smaller than the sum of its proper divisors (10919573280).

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

3425133600 is an equidigital number, since it uses as much as digits as its factorization.

3425133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3425133600 is about 58524.6409642981. The cubic root of 3425133600 is about 1507.3907249818.

Adding to 3425133600 its reverse (63315243), we get a palindrome (3488448843).

The spelling of 3425133600 in words is "three billion, four hundred twenty-five million, one hundred thirty-three thousand, six hundred".