8366342400 has 324 divisors, whose sum is σ = 32215334788. Its totient is φ = 2059223040.

The previous prime is 8366342399. The next prime is 8366342471. The reversal of 8366342400 is 42436638.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1000583424 + 7365758976 = 31632^2 + 85824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 743214 + ... + 754386.

Almost surely, 2^8366342400 is an apocalyptic number.

8366342400 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 8366342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16107667394).

8366342400 is an abundant number, since it is smaller than the sum of its proper divisors (23848992388).

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

8366342400 is a wasteful number, since it uses less digits than its factorization.

8366342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11218 (or 11196 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 8366342400 is about 91467.7123361025. The cubic root of 8366342400 is about 2030.0740426130.

The spelling of 8366342400 in words is "eight billion, three hundred sixty-six million, three hundred forty-two thousand, four hundred".