34148595942400 has 99 divisors (see below), whose sum is σ = 84649483825221. Its totient is φ = 13659064381440.

The previous prime is 34148595942371. The next prime is 34148595942533. The reversal of 34148595942400 is 424959584143.

The square root of 34148595942400 is 5843680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12293494539264 + 21855101403136 = 3506208^2 + 4674944^2 .

It is a super-2 number, since 2×34148595942400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 934970539 + ... + 935007061.

Almost surely, 2^{34148595942400} is an apocalyptic number.

34148595942400 is the 5843680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34148595942400

34148595942400 is an abundant number, since it is smaller than the sum of its proper divisors (50500887882821).

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

34148595942400 is an frugal number, since it uses more digits than its factorization.

34148595942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73076 (or 36530 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 58.

The spelling of 34148595942400 in words is "thirty-four trillion, one hundred forty-eight billion, five hundred ninety-five million, nine hundred forty-two thousand, four hundred".