3434863491360 has 288 divisors, whose sum is σ = 13648723845120. Its totient is φ = 770298107904.

The previous prime is 3434863491349. The next prime is 3434863491383. The reversal of 3434863491360 is 631943684343.

It is a happy number.

3434863491360 is a `hidden beast` number, since 3 + 4 + 34 + 8 + 63 + 491 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3434863491297 and 3434863491306.

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 47 ways as a sum of consecutive naturals, for example, 2680480 + ... + 3748959.

It is an arithmetic number, because the mean of its divisors is an integer number (47391402240).

Almost surely, 2^{3434863491360} is an apocalyptic number.

3434863491360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434863491360 is an abundant number, since it is smaller than the sum of its proper divisors (10213860353760).

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

3434863491360 is a wasteful number, since it uses less digits than its factorization.

3434863491360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429520 (or 6429509 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 3434863491360 in words is "three trillion, four hundred thirty-four billion, eight hundred sixty-three million, four hundred ninety-one thousand, three hundred sixty".