3414181280 has 96 divisors (see below), whose sum is σ = 8374399488. Its totient is φ = 1313971200.

The previous prime is 3414181237. The next prime is 3414181301. The reversal of 3414181280 is 821814143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 895859 + ... + 899661.

It is an arithmetic number, because the mean of its divisors is an integer number (87233328).

Almost surely, 2^3414181280 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 3414181280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187199744).

3414181280 is an abundant number, since it is smaller than the sum of its proper divisors (4960218208).

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

3414181280 is a wasteful number, since it uses less digits than its factorization.

3414181280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4022 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 3414181280 is about 58430.9958840340. The cubic root of 3414181280 is about 1505.7823153186.

The spelling of 3414181280 in words is "three billion, four hundred fourteen million, one hundred eighty-one thousand, two hundred eighty".