3123803724480 has 896 divisors, whose sum is σ = 11611106795520. Its totient is φ = 799497216000.

The previous prime is 3123803724443. The next prime is 3123803724563. The reversal of 3123803724480 is 844273083213.

3123803724480 is a `hidden beast` number, since 3 + 1 + 23 + 80 + 3 + 72 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2972219955 + ... + 2972221005.

Almost surely, 2^{3123803724480} is an apocalyptic number.

3123803724480 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 3123803724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805553397760).

3123803724480 is an abundant number, since it is smaller than the sum of its proper divisors (8487303071040).

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

3123803724480 is a wasteful number, since it uses less digits than its factorization.

3123803724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 3123803724480 in words is "three trillion, one hundred twenty-three billion, eight hundred three million, seven hundred twenty-four thousand, four hundred eighty".