3416467680 has 192 divisors, whose sum is σ = 12249921600. Its totient is φ = 888791040.

The previous prime is 3416467661. The next prime is 3416467693. The reversal of 3416467680 is 867646143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167476 + ... + 186764.

It is an arithmetic number, because the mean of its divisors is an integer number (63801675).

Almost surely, 2^3416467680 is an apocalyptic number.

3416467680 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 3416467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124960800).

3416467680 is an abundant number, since it is smaller than the sum of its proper divisors (8833453920).

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

3416467680 is a wasteful number, since it uses less digits than its factorization.

3416467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19354 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3416467680 is about 58450.5575679138. The cubic root of 3416467680 is about 1506.1183697694.

The spelling of 3416467680 in words is "three billion, four hundred sixteen million, four hundred sixty-seven thousand, six hundred eighty".