3478119406080 has 480 divisors, whose sum is σ = 12241391500800. Its totient is φ = 841831710720.

The previous prime is 3478119406051. The next prime is 3478119406093. The reversal of 3478119406080 is 806049118743.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658856881 + ... + 658862159.

It is an arithmetic number, because the mean of its divisors is an integer number (25502898960).

Almost surely, 2^{3478119406080} is an apocalyptic number.

3478119406080 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 3478119406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120695750400).

3478119406080 is an abundant number, since it is smaller than the sum of its proper divisors (8763272094720).

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

3478119406080 is a wasteful number, since it uses less digits than its factorization.

3478119406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6009 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 3478119406080 in words is "three trillion, four hundred seventy-eight billion, one hundred nineteen million, four hundred six thousand, eighty".