3406597020 has 192 divisors, whose sum is σ = 11812953600. Its totient is φ = 809948160.

The previous prime is 3406596979. The next prime is 3406597109. The reversal of 3406597020 is 207956043.

3406597020 is a `hidden beast` number, since 3 + 40 + 6 + 597 + 0 + 20 = 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 63 ways as a sum of consecutive naturals, for example, 164655 + ... + 184185.

It is an arithmetic number, because the mean of its divisors is an integer number (61525800).

Almost surely, 2^3406597020 is an apocalyptic number.

3406597020 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 3406597020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906476800).

3406597020 is an abundant number, since it is smaller than the sum of its proper divisors (8406356580).

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

3406597020 is a wasteful number, since it uses less digits than its factorization.

3406597020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19577 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3406597020 is about 58366.0605146518. The cubic root of 3406597020 is about 1504.6665074176. Note that the first 3 decimals are identical.

The spelling of 3406597020 in words is "three billion, four hundred six million, five hundred ninety-seven thousand, twenty".