3436382664000 has 896 divisors, whose sum is σ = 14811983746560. Its totient is φ = 768973824000.

The previous prime is 3436382663983. The next prime is 3436382664059. The reversal of 3436382664000 is 4662836343.

3436382664000 is a `hidden beast` number, since 3 + 4 + 3 + 638 + 2 + 6 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30832374 + ... + 30943626.

It is an arithmetic number, because the mean of its divisors is an integer number (16531231860).

Almost surely, 2^{3436382664000} is an apocalyptic number.

3436382664000 is a gapful number since it is divisible by the number (30) 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 3436382664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405991873280).

3436382664000 is an abundant number, since it is smaller than the sum of its proper divisors (11375601082560).

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

3436382664000 is a wasteful number, since it uses less digits than its factorization.

3436382664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111313 (or 111287 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3436382664000 in words is "three trillion, four hundred thirty-six billion, three hundred eighty-two million, six hundred sixty-four thousand".