3274485678720 has 640 divisors, whose sum is σ = 11805045492240. Its totient is φ = 864932069376.

The previous prime is 3274485678701. The next prime is 3274485678757. The reversal of 3274485678720 is 278765844723.

3274485678720 is a `hidden beast` number, since 3 + 2 + 7 + 4 + 48 + 567 + 8 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 947445263424 + 2327040415296 = 973368^2 + 1525464^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2931499602 + ... + 2931500718.

Almost surely, 2^{3274485678720} is an apocalyptic number.

3274485678720 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 3274485678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902522746120).

3274485678720 is an abundant number, since it is smaller than the sum of its proper divisors (8530559813520).

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

3274485678720 is a wasteful number, since it uses less digits than its factorization.

3274485678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 3274485678720 in words is "three trillion, two hundred seventy-four billion, four hundred eighty-five million, six hundred seventy-eight thousand, seven hundred twenty".