3554749440480 has 384 divisors, whose sum is σ = 13044737664000. Its totient is φ = 796805627904.

The previous prime is 3554749440457. The next prime is 3554749440491. The reversal of 3554749440480 is 840449474553.

It is a self number, because there is not a number n which added to its sum of digits gives 3554749440480.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 564332371 + ... + 564338669.

It is an arithmetic number, because the mean of its divisors is an integer number (33970671000).

Almost surely, 2^{3554749440480} is an apocalyptic number.

3554749440480 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 3554749440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522368832000).

3554749440480 is an abundant number, since it is smaller than the sum of its proper divisors (9489988223520).

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

3554749440480 is a wasteful number, since it uses less digits than its factorization.

3554749440480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546 (or 9538 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 57.

The spelling of 3554749440480 in words is "three trillion, five hundred fifty-four billion, seven hundred forty-nine million, four hundred forty thousand, four hundred eighty".