8416346400 has 1728 divisors, whose sum is σ = 42117304320. Its totient is φ = 1526169600.

The previous prime is 8416346339. The next prime is 8416346413. The reversal of 8416346400 is 46436148.

8416346400 is a `hidden beast` number, since 8 + 4 + 1 + 6 + 3 + 4 + 640 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179071177 + ... + 179071223.

It is an arithmetic number, because the mean of its divisors is an integer number (24373440).

Almost surely, 2^8416346400 is an apocalyptic number.

8416346400 is a gapful number since it is divisible by the number (80) 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 8416346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21058652160).

8416346400 is an abundant number, since it is smaller than the sum of its proper divisors (33700957920).

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

8416346400 is a wasteful number, since it uses less digits than its factorization.

8416346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8416346400 is about 91740.6474797295. The cubic root of 8416346400 is about 2034.1104640918.

The spelling of 8416346400 in words is "eight billion, four hundred sixteen million, three hundred forty-six thousand, four hundred".