3522873600 has 864 divisors, whose sum is σ = 14446992000. Its totient is φ = 836075520.

The previous prime is 3522873587. The next prime is 3522873611. The reversal of 3522873600 is 63782253.

3522873600 is a `hidden beast` number, since 3 + 522 + 8 + 73 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×3522873600³ (a number of 30 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 95212782 + ... + 95212818.

Almost surely, 2^3522873600 is an apocalyptic number.

3522873600 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 3522873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223496000).

3522873600 is an abundant number, since it is smaller than the sum of its proper divisors (10924118400).

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

3522873600 is a wasteful number, since it uses less digits than its factorization.

3522873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3522873600 is about 59353.8002153190. The cubic root of 3522873600 is about 1521.5948173255.

The spelling of 3522873600 in words is "three billion, five hundred twenty-two million, eight hundred seventy-three thousand, six hundred".