3475679040 has 336 divisors, whose sum is σ = 12598530048. Its totient is φ = 877780992.

The previous prime is 3475679021. The next prime is 3475679047. The reversal of 3475679040 is 409765743.

3475679040 is a `hidden beast` number, since 3 + 47 + 567 + 9 + 0 + 40 = 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 (3475679047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9074689 + ... + 9075071.

Almost surely, 2^3475679040 is an apocalyptic number.

3475679040 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 3475679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299265024).

3475679040 is an abundant number, since it is smaller than the sum of its proper divisors (9122851008).

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

3475679040 is a wasteful number, since it uses less digits than its factorization.

3475679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3475679040 is about 58954.8898735296. The cubic root of 3475679040 is about 1514.7695104049.

The spelling of 3475679040 in words is "three billion, four hundred seventy-five million, six hundred seventy-nine thousand, forty".