3475880640 has 448 divisors, whose sum is σ = 12842565120. Its totient is φ = 884183040.

The previous prime is 3475880633. The next prime is 3475880641. The reversal of 3475880640 is 460885743.

3475880640 is a `hidden beast` number, since 3 + 4 + 7 + 588 + 0 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3475880641) 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 63 ways as a sum of consecutive naturals, for example, 26533375 + ... + 26533505.

It is an arithmetic number, because the mean of its divisors is an integer number (28666440).

Almost surely, 2^3475880640 is an apocalyptic number.

3475880640 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 3475880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421282560).

3475880640 is an abundant number, since it is smaller than the sum of its proper divisors (9366684480).

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

3475880640 is a wasteful number, since it uses less digits than its factorization.

3475880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3475880640 is about 58956.5996305757. The cubic root of 3475880640 is about 1514.7987969247.

The spelling of 3475880640 in words is "three billion, four hundred seventy-five million, eight hundred eighty thousand, six hundred forty".