3414219120 has 480 divisors, whose sum is σ = 13070592000. Its totient is φ = 818408448.

The previous prime is 3414219119. The next prime is 3414219121. The reversal of 3414219120 is 219124143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3414219119) and next prime (3414219121).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414219121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17156781 + ... + 17156979.

It is an arithmetic number, because the mean of its divisors is an integer number (27230400).

Almost surely, 2^3414219120 is an apocalyptic number.

3414219120 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 3414219120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535296000).

3414219120 is an abundant number, since it is smaller than the sum of its proper divisors (9656372880).

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

3414219120 is a wasteful number, since it uses less digits than its factorization.

3414219120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3414219120 is about 58431.3196838819. The cubic root of 3414219120 is about 1505.7878782523.

The spelling of 3414219120 in words is "three billion, four hundred fourteen million, two hundred nineteen thousand, one hundred twenty".