3463927794432 has 1080 divisors, whose sum is σ = 13134328986240. Its totient is φ = 901289410560.

The previous prime is 3463927794427. The next prime is 3463927794451. The reversal of 3463927794432 is 2344977293643.

It is a happy number.

3463927794432 is a `hidden beast` number, since 3 + 46 + 3 + 9 + 2 + 77 + 94 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3463927794432.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 535462494 + ... + 535468962.

It is an arithmetic number, because the mean of its divisors is an integer number (12161415728).

Almost surely, 2^{3463927794432} is an apocalyptic number.

3463927794432 is a gapful number since it is divisible by the number (32) 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 3463927794432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567164493120).

3463927794432 is an abundant number, since it is smaller than the sum of its proper divisors (9670401191808).

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

3463927794432 is a wasteful number, since it uses less digits than its factorization.

3463927794432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6529 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 63.

The spelling of 3463927794432 in words is "three trillion, four hundred sixty-three billion, nine hundred twenty-seven million, seven hundred ninety-four thousand, four hundred thirty-two".