3479259686976 has 140 divisors (see below), whose sum is σ = 10920299216508. Its totient is φ = 1091532423168.

The previous prime is 3479259686963. The next prime is 3479259686983. The reversal of 3479259686976 is 6796869529743.

3479259686976 is a `hidden beast` number, since 3 + 479 + 2 + 59 + 6 + 8 + 6 + 97 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1503998093376 + 1975261593600 = 1226376^2 + 1405440^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 3479259686895 and 3479259686904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19651681 + ... + 19827936.

Almost surely, 2^{3479259686976} is an apocalyptic number.

3479259686976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3479259686976 is an abundant number, since it is smaller than the sum of its proper divisors (7441039529532).

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

3479259686976 is a wasteful number, since it uses less digits than its factorization.

3479259686976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39479658 (or 39479639 counting only the distinct ones).

The product of its digits is 7407106560, while the sum is 81.

The spelling of 3479259686976 in words is "three trillion, four hundred seventy-nine billion, two hundred fifty-nine million, six hundred eighty-six thousand, nine hundred seventy-six".