3414042182880 has 576 divisors, whose sum is σ = 13423144670208. Its totient is φ = 774016819200.

The previous prime is 3414042182861. The next prime is 3414042182893. The reversal of 3414042182880 is 882812404143.

3414042182880 is a `hidden beast` number, since 3 + 4 + 1 + 404 + 218 + 28 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1380525324 + ... + 1380527796.

It is an arithmetic number, because the mean of its divisors is an integer number (23304070608).

Almost surely, 2^{3414042182880} is an apocalyptic number.

3414042182880 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 3414042182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711572335104).

3414042182880 is an abundant number, since it is smaller than the sum of its proper divisors (10009102487328).

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

3414042182880 is a wasteful number, since it uses less digits than its factorization.

3414042182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 3414042182880 in words is "three trillion, four hundred fourteen billion, forty-two million, one hundred eighty-two thousand, eight hundred eighty".