3405272000 has 224 divisors, whose sum is σ = 9186428160. Its totient is φ = 1242931200.

The previous prime is 3405271999. The next prime is 3405272027. The reversal of 3405272000 is 2725043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14247881 + ... + 14248119.

It is an arithmetic number, because the mean of its divisors is an integer number (41010840).

Almost surely, 2^3405272000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593214080).

3405272000 is an abundant number, since it is smaller than the sum of its proper divisors (5781156160).

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

3405272000 is a wasteful number, since it uses less digits than its factorization.

3405272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 3405272000 is about 58354.7084646989. The cubic root of 3405272000 is about 1504.4713985598.

Adding to 3405272000 its reverse (2725043), we get a palindrome (3407997043).

The spelling of 3405272000 in words is "three billion, four hundred five million, two hundred seventy-two thousand".