3153728871216 has 1680 divisors, whose sum is σ = 12313730585088. Its totient is φ = 759522355200.

The previous prime is 3153728871149. The next prime is 3153728871263. The reversal of 3153728871216 is 6121788273513.

3153728871216 is a `hidden beast` number, since 3 + 1 + 537 + 2 + 8 + 87 + 1 + 21 + 6 = 666.

3153728871216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 23019918700 + ... + 23019918836.

Almost surely, 2^{3153728871216} is an apocalyptic number.

3153728871216 is a gapful number since it is divisible by the number (36) 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 3153728871216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6156865292544).

3153728871216 is an abundant number, since it is smaller than the sum of its proper divisors (9160001713872).

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

3153728871216 is a wasteful number, since it uses less digits than its factorization.

3153728871216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 250 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 3153728871216 in words is "three trillion, one hundred fifty-three billion, seven hundred twenty-eight million, eight hundred seventy-one thousand, two hundred sixteen".