3516480000 has 800 divisors, whose sum is σ = 14573085120. Its totient is φ = 829440000.

The previous prime is 3516479921. The next prime is 3516480001. The reversal of 3516480000 is 846153.

It is a tau number, because it is divible by the number of its divisors (800).

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

It is not an unprimeable number, because it can be changed into a prime (3516480001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95039982 + ... + 95040018.

Almost surely, 2^3516480000 is an apocalyptic number.

3516480000 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 3516480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286542560).

3516480000 is an abundant number, since it is smaller than the sum of its proper divisors (11056605120).

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

3516480000 is an equidigital number, since it uses as much as digits as its factorization.

3516480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3516480000 is about 59299.9156829080. The cubic root of 3516480000 is about 1520.6737548624.

The spelling of 3516480000 in words is "three billion, five hundred sixteen million, four hundred eighty thousand".