3410340692220 has 1728 divisors, whose sum is σ = 14368743567360. Its totient is φ = 638358589440.

The previous prime is 3410340692203. The next prime is 3410340692261. The reversal of 3410340692220 is 222960430143.

3410340692220 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 340 + 6 + 92 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5037430522 + ... + 5037431198.

It is an arithmetic number, because the mean of its divisors is an integer number (8315245120).

Almost surely, 2^{3410340692220} is an apocalyptic number.

3410340692220 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 3410340692220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184371783680).

3410340692220 is an abundant number, since it is smaller than the sum of its proper divisors (10958402875140).

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

3410340692220 is a wasteful number, since it uses less digits than its factorization.

3410340692220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3410340692220 in words is "three trillion, four hundred ten billion, three hundred forty million, six hundred ninety-two thousand, two hundred twenty".