3467416320 has 432 divisors, whose sum is σ = 12655712160. Its totient is φ = 875298816.

The previous prime is 3467416307. The next prime is 3467416369. The reversal of 3467416320 is 236147643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32405707 + ... + 32405813.

It is an arithmetic number, because the mean of its divisors is an integer number (29295630).

Almost surely, 2^3467416320 is an apocalyptic number.

3467416320 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 3467416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327856080).

3467416320 is an abundant number, since it is smaller than the sum of its proper divisors (9188295840).

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

3467416320 is a wasteful number, since it uses less digits than its factorization.

3467416320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3467416320 is about 58884.7715457910. The cubic root of 3467416320 is about 1513.5682058081.

The spelling of 3467416320 in words is "three billion, four hundred sixty-seven million, four hundred sixteen thousand, three hundred twenty".