3405189909600 has 2016 divisors, whose sum is σ = 13998384671040. Its totient is φ = 804065771520.

The previous prime is 3405189909593. The next prime is 3405189909661. The reversal of 3405189909600 is 69099815043.

3405189909600 is a `hidden beast` number, since 34 + 0 + 518 + 9 + 9 + 0 + 96 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 24855400732 + ... + 24855400868.

It is an arithmetic number, because the mean of its divisors is an integer number (6943643190).

Almost surely, 2^{3405189909600} is an apocalyptic number.

3405189909600 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 3405189909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999192335520).

3405189909600 is an abundant number, since it is smaller than the sum of its proper divisors (10593194761440).

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

3405189909600 is a wasteful number, since it uses less digits than its factorization.

3405189909600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 3405189909600 in words is "three trillion, four hundred five billion, one hundred eighty-nine million, nine hundred nine thousand, six hundred".