3405120000 has 200 divisors, whose sum is σ = 11338882896. Its totient is φ = 907776000.

The previous prime is 3405119947. The next prime is 3405120023. The reversal of 3405120000 is 215043.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 958227 + ... + 961773.

Almost surely, 2^3405120000 is an apocalyptic number.

3405120000 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 3405120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669441448).

3405120000 is an abundant number, since it is smaller than the sum of its proper divisors (7933762896).

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

3405120000 is an frugal number, since it uses more digits than its factorization.

3405120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3405120000 is about 58353.4060702544. The cubic root of 3405120000 is about 1504.4490133627.

Adding to 3405120000 its reverse (215043), we get a palindrome (3405335043).

The spelling of 3405120000 in words is "three billion, four hundred five million, one hundred twenty thousand".