8354390400 has 144 divisors (see below), whose sum is σ = 29810482260. Its totient is φ = 2227829760.

The previous prime is 8354390399. The next prime is 8354390411. The reversal of 8354390400 is 40934538.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8354390400² (a number of 21 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 116242 + ... + 173841.

Almost surely, 2^8354390400 is an apocalyptic number.

8354390400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8354390400 is an abundant number, since it is smaller than the sum of its proper divisors (21456091860).

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

8354390400 is a wasteful number, since it uses less digits than its factorization.

8354390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290113 (or 290093 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 8354390400 is about 91402.3544554515. The cubic root of 8354390400 is about 2029.1068733262.

The spelling of 8354390400 in words is "eight billion, three hundred fifty-four million, three hundred ninety thousand, four hundred".