2806346400 has 864 divisors, whose sum is σ = 11734123968. Its totient is φ = 575078400.

The previous prime is 2806346381. The next prime is 2806346407. The reversal of 2806346400 is 46436082.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2806346407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75847182 + ... + 75847218.

It is an arithmetic number, because the mean of its divisors is an integer number (13581162).

Almost surely, 2^2806346400 is an apocalyptic number.

2806346400 is a gapful number since it is divisible by the number (20) 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 2806346400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867061984).

2806346400 is an abundant number, since it is smaller than the sum of its proper divisors (8927777568).

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

2806346400 is a wasteful number, since it uses less digits than its factorization.

2806346400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2806346400 is about 52974.9601226844. The cubic root of 2806346400 is about 1410.5238232790.

The spelling of 2806346400 in words is "two billion, eight hundred six million, three hundred forty-six thousand, four hundred".