3516484000 has 96 divisors (see below), whose sum is σ = 9148413456. Its totient is φ = 1323827200.

The previous prime is 3516483979. The next prime is 3516484021. The reversal of 3516484000 is 4846153.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3516483979) and next prime (3516484021).

It can be written as a sum of positive squares in 8 ways, for example, as 575808016 + 2940675984 = 23996^2 + 54228^2 .

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 15 ways as a sum of consecutive naturals, for example, 42144 + ... + 93856.

Almost surely, 2^3516484000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3516484000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574206728).

3516484000 is an abundant number, since it is smaller than the sum of its proper divisors (5631929456).

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

3516484000 is a wasteful number, since it uses less digits than its factorization.

3516484000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51755 (or 51737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 3516484000 is about 59299.9494097592. The cubic root of 3516484000 is about 1520.6743314515.

The spelling of 3516484000 in words is "three billion, five hundred sixteen million, four hundred eighty-four thousand".