3409656345900 has 432 divisors, whose sum is σ = 12778312135680. Its totient is φ = 744161356800.

The previous prime is 3409656345889. The next prime is 3409656345943. The reversal of 3409656345900 is 95436569043.

3409656345900 is a `hidden beast` number, since 3 + 40 + 9 + 6 + 5 + 6 + 3 + 4 + 590 + 0 = 666.

It is a super-2 number, since 2×3409656345900² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11999671 + ... + 12280529.

It is an arithmetic number, because the mean of its divisors is an integer number (29579426240).

Almost surely, 2^{3409656345900} is an apocalyptic number.

3409656345900 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 3409656345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389156067840).

3409656345900 is an abundant number, since it is smaller than the sum of its proper divisors (9368655789780).

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

3409656345900 is a wasteful number, since it uses less digits than its factorization.

3409656345900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280974 (or 280964 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 3409656345900 in words is "three trillion, four hundred nine billion, six hundred fifty-six million, three hundred forty-five thousand, nine hundred".