3436000948800 has 3024 divisors, whose sum is σ = 16067918730240. Its totient is φ = 705035612160.

The previous prime is 3436000948769. The next prime is 3436000948867. The reversal of 3436000948800 is 88490006343.

3436000948800 is a `hidden beast` number, since 34 + 3 + 600 + 0 + 9 + 4 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×3436000948800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 32112158347 + ... + 32112158453.

Almost surely, 2^{3436000948800} is an apocalyptic number.

3436000948800 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 3436000948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033959365120).

3436000948800 is an abundant number, since it is smaller than the sum of its proper divisors (12631917781440).

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

3436000948800 is a wasteful number, since it uses less digits than its factorization.

3436000948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3436000948800 in words is "three trillion, four hundred thirty-six billion, nine hundred forty-eight thousand, eight hundred".