3414120000 has 280 divisors, whose sum is σ = 11788176576. Its totient is φ = 870144000.

The previous prime is 3414119999. The next prime is 3414120001. The reversal of 3414120000 is 214143.

It is an interprime number because it is at equal distance from previous prime (3414119999) and next prime (3414120001).

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

It is not an unprimeable number, because it can be changed into a prime (3414120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2759382 + ... + 2760618.

Almost surely, 2^3414120000 is an apocalyptic number.

3414120000 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 3414120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894088288).

3414120000 is an abundant number, since it is smaller than the sum of its proper divisors (8374056576).

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

3414120000 is a wasteful number, since it uses less digits than its factorization.

3414120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3414120000 is about 58430.4715024618. The cubic root of 3414120000 is about 1505.7733063366.

Adding to 3414120000 its reverse (214143), we get a palindrome (3414334143).

The spelling of 3414120000 in words is "three billion, four hundred fourteen million, one hundred twenty thousand".