3414659220 has 384 divisors, whose sum is σ = 12599193600. Its totient is φ = 751680000.

The previous prime is 3414659177. The next prime is 3414659257. The reversal of 3414659220 is 229564143.

It is a happy number.

3414659220 is a `hidden beast` number, since 3 + 4 + 1 + 46 + 592 + 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 127 ways as a sum of consecutive naturals, for example, 13604095 + ... + 13604345.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^3414659220 is an apocalyptic number.

3414659220 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 3414659220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299596800).

3414659220 is an abundant number, since it is smaller than the sum of its proper divisors (9184534380).

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

3414659220 is a wasteful number, since it uses less digits than its factorization.

3414659220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3414659220 is about 58435.0855223127. The cubic root of 3414659220 is about 1505.8525752103.

The spelling of 3414659220 in words is "three billion, four hundred fourteen million, six hundred fifty-nine thousand, two hundred twenty".