3479613984 has 384 divisors, whose sum is σ = 12765634560. Its totient is φ = 895795200.

The previous prime is 3479613983. The next prime is 3479613989. The reversal of 3479613984 is 4893169743.

It is a happy number.

3479613984 is a `hidden beast` number, since 3 + 479 + 61 + 39 + 84 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3479613984.

It is not an unprimeable number, because it can be changed into a prime (3479613983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12839769 + ... + 12840039.

It is an arithmetic number, because the mean of its divisors is an integer number (33243840).

Almost surely, 2^3479613984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479613984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6382817280).

3479613984 is an abundant number, since it is smaller than the sum of its proper divisors (9286020576).

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

3479613984 is a wasteful number, since it uses less digits than its factorization.

3479613984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3479613984 is about 58988.2529322576. The cubic root of 3479613984 is about 1515.3409368956.

The spelling of 3479613984 in words is "three billion, four hundred seventy-nine million, six hundred thirteen thousand, nine hundred eighty-four".