34499691072000 has 2400 divisors, whose sum is σ = 163094127932736. Its totient is φ = 7168186368000.

The previous prime is 34499691071987. The next prime is 34499691072017. The reversal of 34499691072000 is 27019699443.

34499691072000 is a `hidden beast` number, since 3 + 449 + 96 + 9 + 107 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 2794169827 + ... + 2794182173.

Almost surely, 2^{34499691072000} is an apocalyptic number.

34499691072000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34499691072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81547063966368).

34499691072000 is an abundant number, since it is smaller than the sum of its proper divisors (128594436860736).

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

34499691072000 is a wasteful number, since it uses less digits than its factorization.

34499691072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 34499691072000 in words is "thirty-four trillion, four hundred ninety-nine billion, six hundred ninety-one million, seventy-two thousand".