34304051400 has 96 divisors (see below), whose sum is σ = 108145087200. Its totient is φ = 8992691200.

The previous prime is 34304051387. The next prime is 34304051401. The reversal of 34304051400 is 415040343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (34304051401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449121 + ... + 519920.

It is an arithmetic number, because the mean of its divisors is an integer number (1126511325).

Almost surely, 2^34304051400 is an apocalyptic number.

34304051400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34304051400 is an abundant number, since it is smaller than the sum of its proper divisors (73841035800).

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

34304051400 is a wasteful number, since it uses less digits than its factorization.

34304051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969119 (or 969110 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34304051400 its reverse (415040343), we get a palindrome (34719091743).

The spelling of 34304051400 in words is "thirty-four billion, three hundred four million, fifty-one thousand, four hundred".