3304143872640 has 384 divisors, whose sum is σ = 12338763091200. Its totient is φ = 809920290816.

The previous prime is 3304143872633. The next prime is 3304143872647. The reversal of 3304143872640 is 462783414033.

3304143872640 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 1 + 4 + 387 + 264 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3304143872633) and next prime (3304143872647).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3304143872640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3304143872647) 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, 17804007 + ... + 17988633.

It is an arithmetic number, because the mean of its divisors is an integer number (32132195550).

Almost surely, 2^{3304143872640} is an apocalyptic number.

3304143872640 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 3304143872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169381545600).

3304143872640 is an abundant number, since it is smaller than the sum of its proper divisors (9034619218560).

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

3304143872640 is a wasteful number, since it uses less digits than its factorization.

3304143872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184904 (or 184889 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3304143872640 in words is "three trillion, three hundred four billion, one hundred forty-three million, eight hundred seventy-two thousand, six hundred forty".