3479810398848 has 1440 divisors, whose sum is σ = 12964838659740. Its totient is φ = 923547598848.

The previous prime is 3479810398807. The next prime is 3479810398903. The reversal of 3479810398848 is 8488930189743.

3479810398848 is a `hidden beast` number, since 3 + 479 + 8 + 1 + 0 + 39 + 88 + 48 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3334246784064 + 145563614784 = 1825992^2 + 381528^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 20114510890 + ... + 20114511062.

Almost surely, 2^{3479810398848} 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 3479810398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6482419329870).

3479810398848 is an abundant number, since it is smaller than the sum of its proper divisors (9485028260892).

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

3479810398848 is a wasteful number, since it uses less digits than its factorization.

3479810398848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 3479810398848 in words is "three trillion, four hundred seventy-nine billion, eight hundred ten million, three hundred ninety-eight thousand, eight hundred forty-eight".