3436661374848 has 1280 divisors, whose sum is σ = 11903296204800. Its totient is φ = 976046505984.

The previous prime is 3436661374847. The next prime is 3436661374849. The reversal of 3436661374848 is 8484731666343.

It is an interprime number because it is at equal distance from previous prime (3436661374847) and next prime (3436661374849).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436661374847) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15007254798 + ... + 15007255026.

It is an arithmetic number, because the mean of its divisors is an integer number (9299450160).

Almost surely, 2^{3436661374848} 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 3436661374848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951648102400).

3436661374848 is an abundant number, since it is smaller than the sum of its proper divisors (8466634829952).

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

3436661374848 is a wasteful number, since it uses less digits than its factorization.

3436661374848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 3436661374848 in words is "three trillion, four hundred thirty-six billion, six hundred sixty-one million, three hundred seventy-four thousand, eight hundred forty-eight".