23629838400 has 945 divisors, whose sum is σ = 102721648887. Its totient is φ = 5312563200.

The previous prime is 23629838389. The next prime is 23629838413. The reversal of 23629838400 is 483892632.

The square root of 23629838400 is 153720.

It is a perfect power (a square), and thus also a powerful number.

23629838400 is a `hidden beast` number, since 236 + 2 + 9 + 8 + 3 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10884331584 + 12745506816 = 104328^2 + 112896^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a super-2 number, since 2×23629838400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 387374370 + ... + 387374430.

Almost surely, 2^23629838400 is an apocalyptic number.

23629838400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23629838400 is the 153720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23629838400

23629838400 is an abundant number, since it is smaller than the sum of its proper divisors (79091810487).

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

23629838400 is an equidigital number, since it uses as much as digits as its factorization.

23629838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 78 counting only the distinct ones).

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

The spelling of 23629838400 in words is "twenty-three billion, six hundred twenty-nine million, eight hundred thirty-eight thousand, four hundred".