3525007200 has 288 divisors, whose sum is σ = 13481137152. Its totient is φ = 788736000.

The previous prime is 3525007177. The next prime is 3525007231. The reversal of 3525007200 is 27005253.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338065 + ... + 348335.

It is an arithmetic number, because the mean of its divisors is an integer number (46809504).

Almost surely, 2^3525007200 is an apocalyptic number.

3525007200 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 3525007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740568576).

3525007200 is an abundant number, since it is smaller than the sum of its proper divisors (9956129952).

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

3525007200 is a wasteful number, since it uses less digits than its factorization.

3525007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10305 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 3525007200 is about 59371.7710700969. The cubic root of 3525007200 is about 1521.9019358781.

The spelling of 3525007200 in words is "three billion, five hundred twenty-five million, seven thousand, two hundred".