3253604712672 has 192 divisors, whose sum is σ = 8979355284480. Its totient is φ = 1029562220544.

The previous prime is 3253604712671. The next prime is 3253604712763. The reversal of 3253604712672 is 2762174063523.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253604712671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322038373 + ... + 322048475.

It is an arithmetic number, because the mean of its divisors is an integer number (46767475440).

Almost surely, 2^{3253604712672} is an apocalyptic number.

3253604712672 is a gapful number since it is divisible by the number (32) 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 3253604712672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489677642240).

3253604712672 is an abundant number, since it is smaller than the sum of its proper divisors (5725750571808).

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

3253604712672 is a wasteful number, since it uses less digits than its factorization.

3253604712672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11225 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 3253604712672 in words is "three trillion, two hundred fifty-three billion, six hundred four million, seven hundred twelve thousand, six hundred seventy-two".