3427476480 has 132 divisors (see below), whose sum is σ = 11876276412. Its totient is φ = 913981440.

The previous prime is 3427476461. The next prime is 3427476487. The reversal of 3427476480 is 846747243.

3427476480 is a `hidden beast` number, since 34 + 2 + 74 + 76 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1408951296 + 2018525184 = 37536^2 + 44928^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3427476487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8890 + ... + 83270.

It is an arithmetic number, because the mean of its divisors is an integer number (89971791).

Almost surely, 2^3427476480 is an apocalyptic number.

3427476480 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 3427476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938138206).

3427476480 is an abundant number, since it is smaller than the sum of its proper divisors (8448799932).

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

3427476480 is a wasteful number, since it uses less digits than its factorization.

3427476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74412 (or 74391 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The square root of 3427476480 is about 58544.6537268776. The cubic root of 3427476480 is about 1507.7343447308.

The spelling of 3427476480 in words is "three billion, four hundred twenty-seven million, four hundred seventy-six thousand, four hundred eighty".