3483610932480 has 576 divisors, whose sum is σ = 12979475873280. Its totient is φ = 779760304128.

The previous prime is 3483610932457. The next prime is 3483610932491. The reversal of 3483610932480 is 842390163843.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 873302326 + ... + 873306314.

It is an arithmetic number, because the mean of its divisors is an integer number (22533812280).

Almost surely, 2^{3483610932480} is an apocalyptic number.

3483610932480 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 3483610932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489737936640).

3483610932480 is an abundant number, since it is smaller than the sum of its proper divisors (9495864940800).

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

3483610932480 is a wasteful number, since it uses less digits than its factorization.

3483610932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4672 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3483610932480 in words is "three trillion, four hundred eighty-three billion, six hundred ten million, nine hundred thirty-two thousand, four hundred eighty".