3416031660 has 192 divisors, whose sum is σ = 10449331200. Its totient is φ = 830850048.

The previous prime is 3416031617. The next prime is 3416031719. The reversal of 3416031660 is 661306143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4597249 + ... + 4597991.

It is an arithmetic number, because the mean of its divisors is an integer number (54423600).

Almost surely, 2^3416031660 is an apocalyptic number.

3416031660 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 3416031660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224665600).

3416031660 is an abundant number, since it is smaller than the sum of its proper divisors (7033299540).

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

3416031660 is a wasteful number, since it uses less digits than its factorization.

3416031660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3416031660 is about 58446.8276299065. The cubic root of 3416031660 is about 1506.0542952406.

The spelling of 3416031660 in words is "three billion, four hundred sixteen million, thirty-one thousand, six hundred sixty".