3253673713680 has 240 divisors, whose sum is σ = 12203285814720. Its totient is φ = 800904236544.

The previous prime is 3253673713663. The next prime is 3253673713691. The reversal of 3253673713680 is 863173763523.

3253673713680 is a `hidden beast` number, since 3 + 2 + 536 + 7 + 3 + 71 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×3253673713680³ (a number of 39 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6184590 + ... + 6690029.

It is an arithmetic number, because the mean of its divisors is an integer number (50847024228).

Almost surely, 2^{3253673713680} is an apocalyptic number.

3253673713680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3253673713680 is an abundant number, since it is smaller than the sum of its proper divisors (8949612101040).

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

3253673713680 is a wasteful number, since it uses less digits than its factorization.

3253673713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12874660 (or 12874642 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 3253673713680 in words is "three trillion, two hundred fifty-three billion, six hundred seventy-three million, seven hundred thirteen thousand, six hundred eighty".