3427655616 has 560 divisors, whose sum is σ = 13123663872. Its totient is φ = 858470400.

The previous prime is 3427655611. The next prime is 3427655657. The reversal of 3427655616 is 6165567243.

3427655616 is a `hidden beast` number, since 3 + 4 + 27 + 6 + 5 + 5 + 616 = 666.

Its product of digits (907200) is a multiple of the sum of its prime factors (350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427655611) 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 79 ways as a sum of consecutive naturals, for example, 12374070 + ... + 12374346.

Almost surely, 2^3427655616 is an apocalyptic number.

3427655616 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 3427655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561831936).

3427655616 is an abundant number, since it is smaller than the sum of its proper divisors (9696008256).

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

3427655616 is a wasteful number, since it uses less digits than its factorization.

3427655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 331 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 3427655616 is about 58546.1836160138. The cubic root of 3427655616 is about 1507.7606113632.

It can be divided in two parts, 3427655 and 616, that added together give a triangular number (3428271 = T₂₆₁₈).

The spelling of 3427655616 in words is "three billion, four hundred twenty-seven million, six hundred fifty-five thousand, six hundred sixteen".