3522355200 has 1008 divisors, whose sum is σ = 16211306160. Its totient is φ = 743178240.

The previous prime is 3522355163. The next prime is 3522355237. The reversal of 3522355200 is 25532253.

It is an interprime number because it is at equal distance from previous prime (3522355163) and next prime (3522355237).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 270950394 + ... + 270950406.

It is an arithmetic number, because the mean of its divisors is an integer number (16082645).

Almost surely, 2^3522355200 is an apocalyptic number.

3522355200 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 3522355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105653080).

3522355200 is an abundant number, since it is smaller than the sum of its proper divisors (12688950960).

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

3522355200 is a wasteful number, since it uses less digits than its factorization.

3522355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3522355200 is about 59349.4330217231. The cubic root of 3522355200 is about 1521.5201781212.

Adding to 3522355200 its reverse (25532253), we get a palindrome (3547887453).

It can be divided in two parts, 352235 and 5200, that added together give a triangular number (357435 = T₈₄₅).

The spelling of 3522355200 in words is "three billion, five hundred twenty-two million, three hundred fifty-five thousand, two hundred".