3547741680 has 720 divisors, whose sum is σ = 15096367104. Its totient is φ = 757693440.

The previous prime is 3547741661. The next prime is 3547741721. The reversal of 3547741680 is 861477453.

3547741680 is a `hidden beast` number, since 3 + 547 + 7 + 41 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114443265 + ... + 114443295.

Almost surely, 2^3547741680 is an apocalyptic number.

3547741680 is a gapful number since it is divisible by the number (30) 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 3547741680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548183552).

3547741680 is an abundant number, since it is smaller than the sum of its proper divisors (11548625424).

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

3547741680 is a wasteful number, since it uses less digits than its factorization.

3547741680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3547741680 is about 59562.9220236885. The cubic root of 3547741680 is about 1525.1667548548.

The spelling of 3547741680 in words is "three billion, five hundred forty-seven million, seven hundred forty-one thousand, six hundred eighty".