3546052992 has 320 divisors, whose sum is σ = 11374387200. Its totient is φ = 1093118976.

The previous prime is 3546052969. The next prime is 3546052999. The reversal of 3546052992 is 2992506453.

3546052992 is a `hidden beast` number, since 35 + 4 + 6 + 0 + 529 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546052999) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9258433 + ... + 9258815.

It is an arithmetic number, because the mean of its divisors is an integer number (35544960).

Almost surely, 2^3546052992 is an apocalyptic number.

3546052992 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 3546052992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687193600).

3546052992 is an abundant number, since it is smaller than the sum of its proper divisors (7828334208).

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

3546052992 is a wasteful number, since it uses less digits than its factorization.

3546052992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3546052992 is about 59548.7446719072. The cubic root of 3546052992 is about 1524.9247286327.

The spelling of 3546052992 in words is "three billion, five hundred forty-six million, fifty-two thousand, nine hundred ninety-two".