34004329160400 has 90 divisors (see below), whose sum is σ = 118004467846070. Its totient is φ = 9067821108480.

The previous prime is 34004329160363. The next prime is 34004329160411. The reversal of 34004329160400 is 406192340043.

It is a happy number.

34004329160400 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 43 + 2 + 9 + 1 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 226705490496 + 33777623669904 = 476136^2 + 5811852^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4722819895 + ... + 4722827094.

Almost surely, 2^{34004329160400} is an apocalyptic number.

34004329160400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34004329160400 is an abundant number, since it is smaller than the sum of its proper divisors (84000138685670).

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

34004329160400 is a wasteful number, since it uses less digits than its factorization.

34004329160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9445647013 (or 9445646999 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34004329160400 in words is "thirty-four trillion, four billion, three hundred twenty-nine million, one hundred sixty thousand, four hundred".