3436461452304 has 240 divisors, whose sum is σ = 10237403996352. Its totient is φ = 1072365944832.

The previous prime is 3436461452273. The next prime is 3436461452357. The reversal of 3436461452304 is 4032541646343.

It is a happy number.

3436461452304 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 4 + 614 + 5 + 23 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3436461452304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365459667 + ... + 365469069.

Almost surely, 2^{3436461452304} is an apocalyptic number.

3436461452304 is a gapful number since it is divisible by the number (34) 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 3436461452304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118701998176).

3436461452304 is an abundant number, since it is smaller than the sum of its proper divisors (6800942544048).

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

3436461452304 is a wasteful number, since it uses less digits than its factorization.

3436461452304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10205 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3436461452304 in words is "three trillion, four hundred thirty-six billion, four hundred sixty-one million, four hundred fifty-two thousand, three hundred four".