34449292899904 has 189 divisors, whose sum is σ = 73505355538017. Its totient is φ = 16015724279808.

The previous prime is 34449292899859. The next prime is 34449292899913. The reversal of 34449292899904 is 40999829294443.

The square root of 34449292899904 is 5869352.

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., 26820383745600 + 7628909154304 = 5178840^2 + 2762048^2 .

It is a super-2 number, since 2×34449292899904² (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 26 ways as a sum of consecutive naturals, for example, 82217882607 + ... + 82217883025.

Almost surely, 2^{34449292899904} is an apocalyptic number.

34449292899904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34449292899904 is the 5869352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34449292899904

34449292899904 is an abundant number, since it is smaller than the sum of its proper divisors (39056062638113).

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

34449292899904 is an frugal number, since it uses more digits than its factorization.

34449292899904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 76.

The spelling of 34449292899904 in words is "thirty-four trillion, four hundred forty-nine billion, two hundred ninety-two million, eight hundred ninety-nine thousand, nine hundred four".