3525696000 has 240 divisors, whose sum is σ = 12700970568. Its totient is φ = 940032000.

The previous prime is 3525695989. The next prime is 3525696007. The reversal of 3525696000 is 6965253.

3525696000 is a `hidden beast` number, since 35 + 2 + 569 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420086016 + 3105609984 = 20496^2 + 55728^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3525696007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572940 + ... + 579060.

Almost surely, 2^3525696000 is an apocalyptic number.

3525696000 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 3525696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350485284).

3525696000 is an abundant number, since it is smaller than the sum of its proper divisors (9175274568).

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

3525696000 is an equidigital number, since it uses as much as digits as its factorization.

3525696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3525696000 is about 59377.5715232612. The cubic root of 3525696000 is about 1522.0010579244.

The spelling of 3525696000 in words is "three billion, five hundred twenty-five million, six hundred ninety-six thousand".