3463575040 has 80 divisors (see below), whose sum is σ = 8507268000. Its totient is φ = 1351598080.

The previous prime is 3463575013. The next prime is 3463575041. The reversal of 3463575040 is 405753643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3463575040² = 23992704115422003200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463575041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88461 + ... + 121459.

It is an arithmetic number, because the mean of its divisors is an integer number (106340850).

Almost surely, 2^3463575040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3463575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253634000).

3463575040 is an abundant number, since it is smaller than the sum of its proper divisors (5043692960).

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

3463575040 is an equidigital number, since it uses as much as digits as its factorization.

3463575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33063 (or 33047 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 37.

The square root of 3463575040 is about 58852.1455853565. The cubic root of 3463575040 is about 1513.0090779123.

The spelling of 3463575040 in words is "three billion, four hundred sixty-three million, five hundred seventy-five thousand, forty".