8348018400 has 108 divisors (see below), whose sum is σ = 29437225272. Its totient is φ = 2226136320.

The previous prime is 8348018369. The next prime is 8348018407. The reversal of 8348018400 is 48108438.

It is a super-2 number, since 2×8348018400² (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 not an unprimeable number, because it can be changed into a prime (8348018407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 572524 + ... + 586923.

Almost surely, 2^8348018400 is an apocalyptic number.

8348018400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8348018400 is an abundant number, since it is smaller than the sum of its proper divisors (21089206872).

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

8348018400 is a wasteful number, since it uses less digits than its factorization.

8348018400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159473 (or 1159457 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8348018400 is about 91367.4909363281. The cubic root of 8348018400 is about 2028.5908668942.

The spelling of 8348018400 in words is "eight billion, three hundred forty-eight million, eighteen thousand, four hundred".