3483549729792 has 264 divisors, whose sum is σ = 11450198111040. Its totient is φ = 1009723883520.

The previous prime is 3483549729773. The next prime is 3483549729823. The reversal of 3483549729792 is 2979279453843.

3483549729792 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 549 + 7 + 2 + 9 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3483549729792.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1584634 + ... + 3078662.

Almost surely, 2^{3483549729792} is an apocalyptic number.

3483549729792 is a gapful number since it is divisible by the number (32) 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 3483549729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725099055520).

3483549729792 is an abundant number, since it is smaller than the sum of its proper divisors (7966648381248).

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

3483549729792 is a wasteful number, since it uses less digits than its factorization.

3483549729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494089 (or 1494068 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 3483549729792 in words is "three trillion, four hundred eighty-three billion, five hundred forty-nine million, seven hundred twenty-nine thousand, seven hundred ninety-two".