4368398400 has 126 divisors (see below), whose sum is σ = 15526370522. Its totient is φ = 1164902400.

The previous prime is 4368398393. The next prime is 4368398401. The reversal of 4368398400 is 48938634.

It can be written as a sum of positive squares in 3 ways, for example, as 191102976 + 4177295424 = 13824^2 + 64632^2 .

It is a super-2 number, since 2×4368398400² = 38165809162245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4368398401) 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, 137281 + ... + 166080.

Almost surely, 2^4368398400 is an apocalyptic number.

4368398400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4368398400 is an abundant number, since it is smaller than the sum of its proper divisors (11157972122).

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

4368398400 is a wasteful number, since it uses less digits than its factorization.

4368398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303389 (or 303371 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4368398400 is about 66093.8605318225. The cubic root of 4368398400 is about 1634.7101020682.

The spelling of 4368398400 in words is "four billion, three hundred sixty-eight million, three hundred ninety-eight thousand, four hundred".