3045761844480 has 1296 divisors, whose sum is σ = 11994418834944. Its totient is φ = 739090759680.

The previous prime is 3045761844451. The next prime is 3045761844481. The reversal of 3045761844480 is 844481675403.

3045761844480 is a `hidden beast` number, since 3 + 0 + 45 + 76 + 18 + 44 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3045761844481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2786606814 + ... + 2786607906.

Almost surely, 2^{3045761844480} is an apocalyptic number.

3045761844480 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 3045761844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997209417472).

3045761844480 is an abundant number, since it is smaller than the sum of its proper divisors (8948656990464).

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

3045761844480 is a wasteful number, since it uses less digits than its factorization.

3045761844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3045761844480 in words is "three trillion, forty-five billion, seven hundred sixty-one million, eight hundred forty-four thousand, four hundred eighty".