3478285440 has 384 divisors, whose sum is σ = 13820526720. Its totient is φ = 789626880.

The previous prime is 3478285411. The next prime is 3478285463. The reversal of 3478285440 is 445828743.

It is a happy number.

3478285440 is a `hidden beast` number, since 34 + 78 + 2 + 8 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 11329767 + ... + 11330073.

It is an arithmetic number, because the mean of its divisors is an integer number (35990955).

Almost surely, 2^3478285440 is an apocalyptic number.

3478285440 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 3478285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910263360).

3478285440 is an abundant number, since it is smaller than the sum of its proper divisors (10342241280).

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

3478285440 is a wasteful number, since it uses less digits than its factorization.

3478285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 3478285440 is about 58976.9907675866. The cubic root of 3478285440 is about 1515.1480559811.

The spelling of 3478285440 in words is "three billion, four hundred seventy-eight million, two hundred eighty-five thousand, four hundred forty".