3534048705600 has 1344 divisors, whose sum is σ = 15162466682880. Its totient is φ = 783936921600.

The previous prime is 3534048705587. The next prime is 3534048705623. The reversal of 3534048705600 is 65078404353.

3534048705600 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 0 + 4 + 87 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2249552815 + ... + 2249554385.

Almost surely, 2^{3534048705600} is an apocalyptic number.

3534048705600 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 3534048705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581233341440).

3534048705600 is an abundant number, since it is smaller than the sum of its proper divisors (11628417977280).

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

3534048705600 is a wasteful number, since it uses less digits than its factorization.

3534048705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3534048705600 in words is "three trillion, five hundred thirty-four billion, forty-eight million, seven hundred five thousand, six hundred".