3241425600 has 588 divisors, whose sum is σ = 13701200944. Its totient is φ = 739031040.

The previous prime is 3241425571. The next prime is 3241425637. The reversal of 3241425600 is 65241423.

3241425600 is a `hidden beast` number, since 3 + 24 + 14 + 25 + 600 = 666.

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, 8164602 + ... + 8164998.

Almost surely, 2^3241425600 is an apocalyptic number.

3241425600 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 3241425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850600472).

3241425600 is an abundant number, since it is smaller than the sum of its proper divisors (10459775344).

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

3241425600 is an equidigital number, since it uses as much as digits as its factorization.

3241425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 414 counting only the distinct ones).

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

The square root of 3241425600 is about 56933.5191253799. The cubic root of 3241425600 is about 1479.9442394380.

The spelling of 3241425600 in words is "three billion, two hundred forty-one million, four hundred twenty-five thousand, six hundred".