3427777680 has 320 divisors, whose sum is σ = 11464409088. Its totient is φ = 845752320.

The previous prime is 3427777679. The next prime is 3427777709. The reversal of 3427777680 is 867777243.

3427777680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17946385 + ... + 17946575.

Almost surely, 2^3427777680 is an apocalyptic number.

3427777680 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 3427777680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732204544).

3427777680 is an abundant number, since it is smaller than the sum of its proper divisors (8036631408).

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

3427777680 is a wasteful number, since it uses less digits than its factorization.

3427777680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 51.

The square root of 3427777680 is about 58547.2260658009. The cubic root of 3427777680 is about 1507.7785090293.

The spelling of 3427777680 in words is "three billion, four hundred twenty-seven million, seven hundred seventy-seven thousand, six hundred eighty".