34004031050400 has 72 divisors (see below), whose sum is σ = 110683121076864. Its totient is φ = 9067741612800.

The previous prime is 34004031050377. The next prime is 34004031050417. The reversal of 34004031050400 is 405013040043.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7084170736 + ... + 7084175535.

It is an arithmetic number, because the mean of its divisors is an integer number (1537265570512).

Almost surely, 2^{34004031050400} is an apocalyptic number.

34004031050400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34004031050400 is an abundant number, since it is smaller than the sum of its proper divisors (76679090026464).

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

34004031050400 is a wasteful number, since it uses less digits than its factorization.

34004031050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14168346294 (or 14168346281 counting only the distinct ones).

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

Adding to 34004031050400 its reverse (405013040043), we get a palindrome (34409044090443).

The spelling of 34004031050400 in words is "thirty-four trillion, four billion, thirty-one million, fifty thousand, four hundred".