3248737504992 has 1008 divisors, whose sum is σ = 12194640243072. Its totient is φ = 845272350720.

The previous prime is 3248737504979. The next prime is 3248737504993. The reversal of 3248737504992 is 2994057378423.

3248737504992 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 7 + 37 + 504 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3248737504993) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 602396248 + ... + 602401640.

It is an arithmetic number, because the mean of its divisors is an integer number (12097857384).

Almost surely, 2^{3248737504992} is an apocalyptic number.

3248737504992 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 3248737504992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097320121536).

3248737504992 is an abundant number, since it is smaller than the sum of its proper divisors (8945902738080).

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

3248737504992 is a wasteful number, since it uses less digits than its factorization.

3248737504992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5483 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3248737504992 in words is "three trillion, two hundred forty-eight billion, seven hundred thirty-seven million, five hundred four thousand, nine hundred ninety-two".