3436041600000 has 528 divisors, whose sum is σ = 12719371845600. Its totient is φ = 916254720000.

The previous prime is 3436041599957. The next prime is 3436041600007. The reversal of 3436041600000 is 61406343.

3436041600000 is a `hidden beast` number, since 3 + 43 + 604 + 16 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436041600007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86380116 + ... + 86419884.

Almost surely, 2^{3436041600000} is an apocalyptic number.

3436041600000 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 3436041600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6359685922800).

3436041600000 is an abundant number, since it is smaller than the sum of its proper divisors (9283330245600).

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

3436041600000 is an frugal number, since it uses more digits than its factorization.

3436041600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39823 (or 39779 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 3436041600000 in words is "three trillion, four hundred thirty-six billion, forty-one million, six hundred thousand".