3456784885536 has 432 divisors, whose sum is σ = 10503672012288. Its totient is φ = 1077193728000.

The previous prime is 3456784885513. The next prime is 3456784885559. The reversal of 3456784885536 is 6355884876543.

3456784885536 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 7 + 8 + 4 + 8 + 85 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (3456784885513) and next prime (3456784885559).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1845586296 + ... + 1845588168.

It is an arithmetic number, because the mean of its divisors is an integer number (24314055584).

Almost surely, 2^{3456784885536} is an apocalyptic number.

3456784885536 is a gapful number since it is divisible by the number (36) 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 3456784885536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251836006144).

3456784885536 is an abundant number, since it is smaller than the sum of its proper divisors (7046887126752).

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

3456784885536 is a wasteful number, since it uses less digits than its factorization.

3456784885536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2097 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 3456784885536 in words is "three trillion, four hundred fifty-six billion, seven hundred eighty-four million, eight hundred eighty-five thousand, five hundred thirty-six".