3547776672 has 576 divisors, whose sum is σ = 12548390400. Its totient is φ = 974177280.

The previous prime is 3547776671. The next prime is 3547776719. The reversal of 3547776672 is 2766777453.

3547776672 is a `hidden beast` number, since 35 + 477 + 76 + 6 + 72 = 666.

3547776672 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 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 (3547776671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60131779 + ... + 60131837.

It is an arithmetic number, because the mean of its divisors is an integer number (21785400).

Almost surely, 2^3547776672 is an apocalyptic number.

3547776672 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 3547776672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274195200).

3547776672 is an abundant number, since it is smaller than the sum of its proper divisors (9000613728).

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

3547776672 is a wasteful number, since it uses less digits than its factorization.

3547776672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 10372320, while the sum is 54.

The square root of 3547776672 is about 59563.2157627508. The cubic root of 3547776672 is about 1525.1717691676.

The spelling of 3547776672 in words is "three billion, five hundred forty-seven million, seven hundred seventy-six thousand, six hundred seventy-two".