8350826400 has 432 divisors, whose sum is σ = 34169937984. Its totient is φ = 1879511040.

The previous prime is 8350826381. The next prime is 8350826441. The reversal of 8350826400 is 46280538.

8350826400 is a `hidden beast` number, since 8 + 3 + 5 + 0 + 8 + 2 + 640 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 3375564 + ... + 3378036.

Almost surely, 2^8350826400 is an apocalyptic number.

8350826400 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 8350826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17084968992).

8350826400 is an abundant number, since it is smaller than the sum of its proper divisors (25819111584).

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

8350826400 is a wasteful number, since it uses less digits than its factorization.

8350826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8350826400 is about 91382.8561602230. The cubic root of 8350826400 is about 2028.8182919077.

The spelling of 8350826400 in words is "eight billion, three hundred fifty million, eight hundred twenty-six thousand, four hundred".