3478783412160 has 1008 divisors, whose sum is σ = 14651167999104. Its totient is φ = 783225096192.

The previous prime is 3478783412147. The next prime is 3478783412173. The reversal of 3478783412160 is 612143878743.

3478783412160 is a `hidden beast` number, since 3 + 4 + 7 + 87 + 8 + 341 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3478783412147) and next prime (3478783412173).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3478783412097 and 3478783412106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255279267 + ... + 255292893.

It is an arithmetic number, because the mean of its divisors is an integer number (14534888888).

Almost surely, 2^{3478783412160} is an apocalyptic number.

3478783412160 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 3478783412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325583999552).

3478783412160 is an abundant number, since it is smaller than the sum of its proper divisors (11172384586944).

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

3478783412160 is a wasteful number, since it uses less digits than its factorization.

3478783412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13740 (or 13711 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3478783412160 in words is "three trillion, four hundred seventy-eight billion, seven hundred eighty-three million, four hundred twelve thousand, one hundred sixty".