3516561420 has 192 divisors, whose sum is σ = 10590289920. Its totient is φ = 869315328.

The previous prime is 3516561407. The next prime is 3516561421. The reversal of 3516561420 is 241656153.

It is not an unprimeable number, because it can be changed into a prime (3516561421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15491347 + ... + 15491573.

It is an arithmetic number, because the mean of its divisors is an integer number (55157760).

Almost surely, 2^3516561420 is an apocalyptic number.

3516561420 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 3516561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960).

3516561420 is an abundant number, since it is smaller than the sum of its proper divisors (7073728500).

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

3516561420 is a wasteful number, since it uses less digits than its factorization.

3516561420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3516561420 is about 59300.6021891852. The cubic root of 3516561420 is about 1520.6854912485.

The spelling of 3516561420 in words is "three billion, five hundred sixteen million, five hundred sixty-one thousand, four hundred twenty".