34201330400 has 72 divisors (see below), whose sum is σ = 83529278784. Its totient is φ = 13674752000.

The previous prime is 34201330391. The next prime is 34201330403. The reversal of 34201330400 is 403310243.

It is a super-2 number, since 2×34201330400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34201330403) 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, 2233169 + ... + 2248431.

It is an arithmetic number, because the mean of its divisors is an integer number (1160128872).

Almost surely, 2^34201330400 is an apocalyptic number.

It is an amenable number.

34201330400 is an abundant number, since it is smaller than the sum of its proper divisors (49327948384).

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

34201330400 is a wasteful number, since it uses less digits than its factorization.

34201330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18084 (or 18071 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 34201330400 its reverse (403310243), we get a palindrome (34604640643).

The spelling of 34201330400 in words is "thirty-four billion, two hundred one million, three hundred thirty thousand, four hundred".