3290084640 has 144 divisors (see below), whose sum is σ = 11302514496. Its totient is φ = 871488000.

The previous prime is 3290084587. The next prime is 3290084641. The reversal of 3290084640 is 464800923.

It is a happy number.

3290084640 is a `hidden beast` number, since 3 + 2 + 9 + 0 + 0 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 3290084595 and 3290084604.

It is not an unprimeable number, because it can be changed into a prime (3290084641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209875 + ... + 225005.

It is an arithmetic number, because the mean of its divisors is an integer number (78489684).

Almost surely, 2^3290084640 is an apocalyptic number.

3290084640 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 3290084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651257248).

3290084640 is an abundant number, since it is smaller than the sum of its proper divisors (8012429856).

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

3290084640 is a wasteful number, since it uses less digits than its factorization.

3290084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15292 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3290084640 is about 57359.2594094450. The cubic root of 3290084640 is about 1487.3129415696.

The spelling of 3290084640 in words is "three billion, two hundred ninety million, eighty-four thousand, six hundred forty".