3416611072 has 72 divisors (see below), whose sum is σ = 7823418176. Its totient is φ = 1458763776.

The previous prime is 3416611069. The next prime is 3416611073. The reversal of 3416611072 is 2701166143.

It is not an unprimeable number, because it can be changed into a prime (3416611073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 492943 + ... + 499825.

Almost surely, 2^3416611072 is an apocalyptic number.

3416611072 is a gapful number since it is divisible by the number (32) 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 3416611072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911709088).

3416611072 is an abundant number, since it is smaller than the sum of its proper divisors (4406807104).

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

3416611072 is an equidigital number, since it uses as much as digits as its factorization.

3416611072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 3416611072 is about 58451.7841643863. The cubic root of 3416611072 is about 1506.1394404896.

The spelling of 3416611072 in words is "three billion, four hundred sixteen million, six hundred eleven thousand, seventy-two".