93820334400 has 1344 divisors, whose sum is σ = 403834152960. Its totient is φ = 20968243200.

The previous prime is 93820334393. The next prime is 93820334401. The reversal of 93820334400 is 443302839.

It is a happy number.

93820334400 is a `hidden beast` number, since 9 + 3 + 8 + 203 + 3 + 440 + 0 = 666.

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 (93820334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 295963042 + ... + 295963358.

It is an arithmetic number, because the mean of its divisors is an integer number (300471840).

Almost surely, 2^93820334400 is an apocalyptic number.

93820334400 is a gapful number since it is divisible by the number (90) 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 93820334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201917076480).

93820334400 is an abundant number, since it is smaller than the sum of its proper divisors (310013818560).

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

93820334400 is a wasteful number, since it uses less digits than its factorization.

93820334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 93820334400 in words is "ninety-three billion, eight hundred twenty million, three hundred thirty-four thousand, four hundred".