3525397200 has 180 divisors, whose sum is σ = 13175367660. Its totient is φ = 867778560.

The previous prime is 3525397189. The next prime is 3525397231. The reversal of 3525397200 is 27935253.

3525397200 is a `hidden beast` number, since 3 + 52 + 539 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1016589456 + 2508807744 = 31884^2 + 50088^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9136 + ... + 84464.

It is an arithmetic number, because the mean of its divisors is an integer number (73196487).

Almost surely, 2^3525397200 is an apocalyptic number.

3525397200 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 3525397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587683830).

3525397200 is an abundant number, since it is smaller than the sum of its proper divisors (9649970460).

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

3525397200 is a wasteful number, since it uses less digits than its factorization.

3525397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75366 (or 75352 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3525397200 is about 59375.0553683952. The cubic root of 3525397200 is about 1521.9580605735.

The spelling of 3525397200 in words is "three billion, five hundred twenty-five million, three hundred ninety-seven thousand, two hundred".