8906342400 has 342 divisors, whose sum is σ = 32115724472. Its totient is φ = 2359296000.

The previous prime is 8906342387. The next prime is 8906342429. The reversal of 8906342400 is 42436098.

It is a happy number.

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 17 ways as a sum of consecutive naturals, for example, 58982325 + ... + 58982475.

Almost surely, 2^8906342400 is an apocalyptic number.

8906342400 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 8906342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057862236).

8906342400 is an abundant number, since it is smaller than the sum of its proper divisors (23209382072).

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

8906342400 is an equidigital number, since it uses as much as digits as its factorization.

8906342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8906342400 is about 94373.4199867738. The cubic root of 8906342400 is about 2072.8432538139.

Adding to 8906342400 its reverse (42436098), we get a palindrome (8948778498).

The spelling of 8906342400 in words is "eight billion, nine hundred six million, three hundred forty-two thousand, four hundred".