3253920053760 has 480 divisors, whose sum is σ = 11454026538240. Its totient is φ = 853565865984.

The previous prime is 3253920053749. The next prime is 3253920053767. The reversal of 3253920053760 is 673500293523.

3253920053760 is a `hidden beast` number, since 3 + 2 + 5 + 39 + 20 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3253920053760² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3253920053767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515102122 + ... + 515108438.

It is an arithmetic number, because the mean of its divisors is an integer number (23862555288).

Almost surely, 2^{3253920053760} is an apocalyptic number.

3253920053760 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 3253920053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727013269120).

3253920053760 is an abundant number, since it is smaller than the sum of its proper divisors (8200106484480).

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

3253920053760 is a wasteful number, since it uses less digits than its factorization.

3253920053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 3253920053760 in words is "three trillion, two hundred fifty-three billion, nine hundred twenty million, fifty-three thousand, seven hundred sixty".