3162008640 has 224 divisors, whose sum is σ = 11511198720. Its totient is φ = 720377856.

The previous prime is 3162008623. The next prime is 3162008693. The reversal of 3162008640 is 468002613.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3162008598 and 3162008607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2815119 + ... + 2816241.

It is an arithmetic number, because the mean of its divisors is an integer number (51389280).

Almost surely, 2^3162008640 is an apocalyptic number.

3162008640 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 3162008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755599360).

3162008640 is an abundant number, since it is smaller than the sum of its proper divisors (8349190080).

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

3162008640 is a wasteful number, since it uses less digits than its factorization.

3162008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3162008640 is about 56231.7405030291. The cubic root of 3162008640 is about 1467.7576437414.

The spelling of 3162008640 in words is "three billion, one hundred sixty-two million, eight thousand, six hundred forty".