3427361280 has 480 divisors, whose sum is σ = 13788403200. Its totient is φ = 770605056.

The previous prime is 3427361251. The next prime is 3427361291. The reversal of 3427361280 is 821637243.

It is a happy number.

3427361280 is a `hidden beast` number, since 34 + 2 + 7 + 3 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12740986 + ... + 12741254.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^3427361280 is an apocalyptic number.

3427361280 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 3427361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894201600).

3427361280 is an abundant number, since it is smaller than the sum of its proper divisors (10361041920).

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

3427361280 is a wasteful number, since it uses less digits than its factorization.

3427361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3427361280 is about 58543.6698542208. The cubic root of 3427361280 is about 1507.7174525223.

The spelling of 3427361280 in words is "three billion, four hundred twenty-seven million, three hundred sixty-one thousand, two hundred eighty".