3290145480 has 160 divisors (see below), whose sum is σ = 11167041600. Its totient is φ = 868765824.

The previous prime is 3290145449. The next prime is 3290145527. The reversal of 3290145480 is 845410923.

3290145480 is a `hidden beast` number, since 32 + 9 + 0 + 145 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328791 + ... + 338649.

It is an arithmetic number, because the mean of its divisors is an integer number (69794010).

Almost surely, 2^3290145480 is an apocalyptic number.

3290145480 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 3290145480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5583520800).

3290145480 is an abundant number, since it is smaller than the sum of its proper divisors (7876896120).

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

3290145480 is a wasteful number, since it uses less digits than its factorization.

3290145480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9985 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3290145480 is about 57359.7897485686. The cubic root of 3290145480 is about 1487.3221092732.

The spelling of 3290145480 in words is "three billion, two hundred ninety million, one hundred forty-five thousand, four hundred eighty".