3516552000 has 756 divisors, whose sum is σ = 14469753636. Its totient is φ = 814694400.

The previous prime is 3516551993. The next prime is 3516552019. The reversal of 3516552000 is 2556153.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3516552000 is a `hidden beast` number, since 3 + 5 + 1 + 655 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 3491391744 + 25160256 = 59088^2 + 5016^2 .

It is a super-2 number, since 2×3516552000² = 24732275937408000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 206855992 + ... + 206856008.

Almost surely, 2^3516552000 is an apocalyptic number.

3516552000 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 3516552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234876818).

3516552000 is an abundant number, since it is smaller than the sum of its proper divisors (10953201636).

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

3516552000 is a wasteful number, since it uses less digits than its factorization.

3516552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 3516552000 is about 59300.5227632944. The cubic root of 3516552000 is about 1520.6841334003.

Multiplying 3516552000 by its product of nonzero digits (4500), we get a square (15824484000000 = 3978000²).

3516552000 divided by its product of nonzero digits (4500) gives a square (781456 = 884²).

The spelling of 3516552000 in words is "three billion, five hundred sixteen million, five hundred fifty-two thousand".