3425524800 has 168 divisors, whose sum is σ = 11601614592. Its totient is φ = 883968000.

The previous prime is 3425524793. The next prime is 3425524813. The reversal of 3425524800 is 84255243.

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 23 ways as a sum of consecutive naturals, for example, 137290 + ... + 160310.

Almost surely, 2^3425524800 is an apocalyptic number.

3425524800 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 3425524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800807296).

3425524800 is an abundant number, since it is smaller than the sum of its proper divisors (8176089792).

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

3425524800 is a wasteful number, since it uses less digits than its factorization.

3425524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23077 (or 23062 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 3425524800 is about 58527.9830508450. The cubic root of 3425524800 is about 1507.4481114345.

The spelling of 3425524800 in words is "three billion, four hundred twenty-five million, five hundred twenty-four thousand, eight hundred".