3525045600 has 144 divisors (see below), whose sum is σ = 11494420560. Its totient is φ = 938342400.

The previous prime is 3525045599. The next prime is 3525045617. The reversal of 3525045600 is 65405253.

3525045600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1969506 + ... + 1971294.

It is an arithmetic number, because the mean of its divisors is an integer number (79822365).

Almost surely, 2^3525045600 is an apocalyptic number.

3525045600 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 3525045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747210280).

3525045600 is an abundant number, since it is smaller than the sum of its proper divisors (7969374960).

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

3525045600 is a wasteful number, since it uses less digits than its factorization.

3525045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2633 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 3525045600 is about 59372.0944552237. The cubic root of 3525045600 is about 1521.9074621857.

The spelling of 3525045600 in words is "three billion, five hundred twenty-five million, forty-five thousand, six hundred".