3478775040 has 720 divisors, whose sum is σ = 14023270800. Its totient is φ = 817496064.

The previous prime is 3478775021. The next prime is 3478775057. The reversal of 3478775040 is 405778743.

3478775040 is a `hidden beast` number, since 3 + 4 + 78 + 77 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 578306304 + 2900468736 = 24048^2 + 53856^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 39087316 + ... + 39087404.

It is an arithmetic number, because the mean of its divisors is an integer number (19476765).

Almost surely, 2^3478775040 is an apocalyptic number.

3478775040 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 3478775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7011635400).

3478775040 is an abundant number, since it is smaller than the sum of its proper divisors (10544495760).

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

3478775040 is a wasteful number, since it uses less digits than its factorization.

3478775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3478775040 is about 58981.1413928215. The cubic root of 3478775040 is about 1515.2191428904.

The spelling of 3478775040 in words is "three billion, four hundred seventy-eight million, seven hundred seventy-five thousand, forty".