3414480038280 has 64 divisors (see below), whose sum is σ = 11381600131200. Its totient is φ = 910528009920.

The previous prime is 3414480038279. The next prime is 3414480038287. The reversal of 3414480038280 is 828300844143.

It is a happy number.

3414480038280 is a `hidden beast` number, since 3 + 4 + 14 + 480 + 0 + 3 + 82 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3414480038287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580776716 + ... + 1580778875.

It is an arithmetic number, because the mean of its divisors is an integer number (177837502050).

Almost surely, 2^{3414480038280} is an apocalyptic number.

3414480038280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414480038280 is an abundant number, since it is smaller than the sum of its proper divisors (7967120092920).

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

3414480038280 is a wasteful number, since it uses less digits than its factorization.

3414480038280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161555611 (or 3161555601 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 3414480038280 in words is "three trillion, four hundred fourteen billion, four hundred eighty million, thirty-eight thousand, two hundred eighty".