3483763008672 has 96 divisors (see below), whose sum is σ = 9289438143552. Its totient is φ = 1142927622144.

The previous prime is 3483763008629. The next prime is 3483763008697. The reversal of 3483763008672 is 2768003673843.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 7181218 + ... + 7650974.

It is an arithmetic number, because the mean of its divisors is an integer number (96764980662).

Almost surely, 2^{3483763008672} is an apocalyptic number.

3483763008672 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 3483763008672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644719071776).

3483763008672 is an abundant number, since it is smaller than the sum of its proper divisors (5805675134880).

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

3483763008672 is a wasteful number, since it uses less digits than its factorization.

3483763008672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470990 (or 470982 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 3483763008672 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-three million, eight thousand, six hundred seventy-two".