3430412304804 has 144 divisors (see below), whose sum is σ = 9160466515200. Its totient is φ = 1080734683392.

The previous prime is 3430412304727. The next prime is 3430412304871. The reversal of 3430412304804 is 4084032140343.

3430412304804 is a `hidden beast` number, since 34 + 304 + 12 + 304 + 8 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24220137 + ... + 24361359.

It is an arithmetic number, because the mean of its divisors is an integer number (63614350800).

Almost surely, 2^{3430412304804} 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 3430412304804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580233257600).

3430412304804 is an abundant number, since it is smaller than the sum of its proper divisors (5730054210396).

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

3430412304804 is a wasteful number, since it uses less digits than its factorization.

3430412304804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141754 (or 141749 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 3430412304804 in words is "three trillion, four hundred thirty billion, four hundred twelve million, three hundred four thousand, eight hundred four".