3449525948352 has 1008 divisors, whose sum is σ = 11534958489600. Its totient is φ = 983549952000.

The previous prime is 3449525948347. The next prime is 3449525948359. The reversal of 3449525948352 is 2538495259443.

3449525948352 is a `hidden beast` number, since 3 + 4 + 4 + 9 + 5 + 2 + 594 + 8 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3449525948352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449525948359) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17334301149 + ... + 17334301347.

It is an arithmetic number, because the mean of its divisors is an integer number (11443411200).

Almost surely, 2^{3449525948352} is an apocalyptic number.

3449525948352 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 3449525948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5767479244800).

3449525948352 is an abundant number, since it is smaller than the sum of its proper divisors (8085432541248).

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

3449525948352 is a wasteful number, since it uses less digits than its factorization.

3449525948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 430 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 3449525948352 in words is "three trillion, four hundred forty-nine billion, five hundred twenty-five million, nine hundred forty-eight thousand, three hundred fifty-two".