3479456300544 has 2520 divisors, whose sum is σ = 13986791805888. Its totient is φ = 857813483520.

The previous prime is 3479456300473. The next prime is 3479456300549. The reversal of 3479456300544 is 4450036549743.

3479456300544 is a `hidden beast` number, since 3 + 4 + 7 + 94 + 5 + 6 + 3 + 0 + 0 + 544 = 666.

It is a super-2 number, since 2×3479456300544² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479456300549) by changing a digit.

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 251 ways as a sum of consecutive naturals, for example, 112240525809 + ... + 112240525839.

Almost surely, 2^{3479456300544} is an apocalyptic number.

3479456300544 is a gapful number since it is divisible by the number (34) 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 3479456300544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993395902944).

3479456300544 is an abundant number, since it is smaller than the sum of its proper divisors (10507335505344).

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

3479456300544 is an equidigital number, since it uses as much as digits as its factorization.

3479456300544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 3479456300544 in words is "three trillion, four hundred seventy-nine billion, four hundred fifty-six million, three hundred thousand, five hundred forty-four".