3478412160 has 320 divisors, whose sum is σ = 13156078320. Its totient is φ = 872792064.

The previous prime is 3478412159. The next prime is 3478412209. The reversal of 3478412160 is 612148743.

3478412160 is a `hidden beast` number, since 3 + 478 + 4 + 121 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 879307 + ... + 883253.

Almost surely, 2^3478412160 is an apocalyptic number.

3478412160 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 3478412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578039160).

3478412160 is an abundant number, since it is smaller than the sum of its proper divisors (9677666160).

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

3478412160 is a wasteful number, since it uses less digits than its factorization.

3478412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3478412160 is about 58978.0650750769. The cubic root of 3478412160 is about 1515.1664555857.

The spelling of 3478412160 in words is "three billion, four hundred seventy-eight million, four hundred twelve thousand, one hundred sixty".