3454699852800 has 2112 divisors, whose sum is σ = 15545969994240. Its totient is φ = 733835427840.

The previous prime is 3454699852739. The next prime is 3454699852811. The reversal of 3454699852800 is 82589964543.

3454699852800 is a `hidden beast` number, since 3 + 4 + 5 + 469 + 98 + 5 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7978521384 + ... + 7978521816.

Almost surely, 2^{3454699852800} is an apocalyptic number.

3454699852800 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 3454699852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772984997120).

3454699852800 is an abundant number, since it is smaller than the sum of its proper divisors (12091270141440).

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

3454699852800 is a wasteful number, since it uses less digits than its factorization.

3454699852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3454699852800 in words is "three trillion, four hundred fifty-four billion, six hundred ninety-nine million, eight hundred fifty-two thousand, eight hundred".