3549772512 has 480 divisors, whose sum is σ = 12545384544. Its totient is φ = 970444800.

The previous prime is 3549772511. The next prime is 3549772519. The reversal of 3549772512 is 2152779453.

It is a happy number.

3549772512 is a `hidden beast` number, since 3 + 549 + 77 + 25 + 12 = 666.

3549772512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3549772511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22609938 + ... + 22610094.

Almost surely, 2^3549772512 is an apocalyptic number.

3549772512 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 3549772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6272692272).

3549772512 is an abundant number, since it is smaller than the sum of its proper divisors (8995612032).

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

3549772512 is a wasteful number, since it uses less digits than its factorization.

3549772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 247 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 3549772512 is about 59579.9673715923. The cubic root of 3549772512 is about 1525.4577161584.

The spelling of 3549772512 in words is "three billion, five hundred forty-nine million, seven hundred seventy-two thousand, five hundred twelve".