34033020400 has 120 divisors (see below), whose sum is σ = 86451252480. Its totient is φ = 12839258880.

The previous prime is 34033020389. The next prime is 34033020401. The reversal of 34033020400 is 402033043.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34033020401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1715337 + ... + 1735063.

It is an arithmetic number, because the mean of its divisors is an integer number (720427104).

Almost surely, 2^34033020400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34033020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43225626240).

34033020400 is an abundant number, since it is smaller than the sum of its proper divisors (52418232080).

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

34033020400 is a wasteful number, since it uses less digits than its factorization.

34033020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991 (or 19980 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 34033020400 its reverse (402033043), we get a palindrome (34435053443).

The spelling of 34033020400 in words is "thirty-four billion, thirty-three million, twenty thousand, four hundred".