20345034400 has 72 divisors (see below), whose sum is σ = 49745816064. Its totient is φ = 8125152000.

The previous prime is 20345034397. The next prime is 20345034407. The reversal of 20345034400 is 443054302.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (20345034407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494625 + ... + 534175.

It is an arithmetic number, because the mean of its divisors is an integer number (690914112).

Almost surely, 2^20345034400 is an apocalyptic number.

20345034400 is a gapful number since it is divisible by the number (20) 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 20345034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872908032).

20345034400 is an abundant number, since it is smaller than the sum of its proper divisors (29400781664).

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

20345034400 is a wasteful number, since it uses less digits than its factorization.

20345034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40214 (or 40201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 20345034400 its reverse (443054302), we get a palindrome (20788088702).

The spelling of 20345034400 in words is "twenty billion, three hundred forty-five million, thirty-four thousand, four hundred".