3436393896000 has 1120 divisors, whose sum is σ = 14133430671360. Its totient is φ = 818532864000.

The previous prime is 3436393895999. The next prime is 3436393896007. The reversal of 3436393896000 is 6983936343.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3436393896007) 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, 261137421 + ... + 261150579.

It is an arithmetic number, because the mean of its divisors is an integer number (12619134528).

Almost surely, 2^{3436393896000} is an apocalyptic number.

3436393896000 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 3436393896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066715335680).

3436393896000 is an abundant number, since it is smaller than the sum of its proper divisors (10697036775360).

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

3436393896000 is a wasteful number, since it uses less digits than its factorization.

3436393896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13242 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 3436393896000 in words is "three trillion, four hundred thirty-six billion, three hundred ninety-three million, eight hundred ninety-six thousand".