3133672456320 has 2304 divisors, whose sum is σ = 13749686496000. Its totient is φ = 643486187520.

The previous prime is 3133672456273. The next prime is 3133672456333. The reversal of 3133672456320 is 236542763313.

3133672456320 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 6 + 7 + 2 + 4 + 5 + 632 + 0 = 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35209802836 + ... + 35209802924.

It is an arithmetic number, because the mean of its divisors is an integer number (5967745875).

Almost surely, 2^{3133672456320} is an apocalyptic number.

3133672456320 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 3133672456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874843248000).

3133672456320 is an abundant number, since it is smaller than the sum of its proper divisors (10616014039680).

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

3133672456320 is a wasteful number, since it uses less digits than its factorization.

3133672456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 3133672456320 in words is "three trillion, one hundred thirty-three billion, six hundred seventy-two million, four hundred fifty-six thousand, three hundred twenty".