3261747142764 has 336 divisors, whose sum is σ = 9546920248320. Its totient is φ = 966344670720.

The previous prime is 3261747142751. The next prime is 3261747142793. The reversal of 3261747142764 is 4672417471623.

3261747142764 is a `hidden beast` number, since 3 + 2 + 61 + 7 + 471 + 42 + 76 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3261747142764.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 260996164 + ... + 261008660.

It is an arithmetic number, because the mean of its divisors is an integer number (28413453120).

Almost surely, 2^{3261747142764} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3261747142764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4773460124160).

3261747142764 is an abundant number, since it is smaller than the sum of its proper divisors (6285173105556).

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

3261747142764 is a wasteful number, since it uses less digits than its factorization.

3261747142764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12712 (or 12695 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 3261747142764 in words is "three trillion, two hundred sixty-one billion, seven hundred forty-seven million, one hundred forty-two thousand, seven hundred sixty-four".