3546673776 has 150 divisors (see below), whose sum is σ = 10555314000. Its totient is φ = 1149697152.

The previous prime is 3546673771. The next prime is 3546673787. The reversal of 3546673776 is 6773766453.

3546673776 is a `hidden beast` number, since 3 + 546 + 67 + 37 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3546673771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1773225 + ... + 1775223.

It is an arithmetic number, because the mean of its divisors is an integer number (70368760).

Almost surely, 2^3546673776 is an apocalyptic number.

3546673776 is a gapful number since it is divisible by the number (36) 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 3546673776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277657000).

3546673776 is an abundant number, since it is smaller than the sum of its proper divisors (7008640224).

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

3546673776 is a wasteful number, since it uses less digits than its factorization.

3546673776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2041 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The square root of 3546673776 is about 59553.9568458721. The cubic root of 3546673776 is about 1525.0137095964.

The spelling of 3546673776 in words is "three billion, five hundred forty-six million, six hundred seventy-three thousand, seven hundred seventy-six".