3477797479728 has 480 divisors, whose sum is σ = 11867748986880. Its totient is φ = 966579194880.

The previous prime is 3477797479721. The next prime is 3477797479781. The reversal of 3477797479728 is 8279747977743.

It is a happy number.

3477797479728 is a `hidden beast` number, since 3 + 4 + 7 + 7 + 79 + 7 + 479 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3477797479721) 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 95 ways as a sum of consecutive naturals, for example, 126071025 + ... + 126098607.

It is an arithmetic number, because the mean of its divisors is an integer number (24724477056).

Almost surely, 2^{3477797479728} 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 3477797479728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933874493440).

3477797479728 is an abundant number, since it is smaller than the sum of its proper divisors (8389951507152).

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

3477797479728 is a wasteful number, since it uses less digits than its factorization.

3477797479728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27794 (or 27769 counting only the distinct ones).

The product of its digits is 7318708992, while the sum is 81.

The spelling of 3477797479728 in words is "three trillion, four hundred seventy-seven billion, seven hundred ninety-seven million, four hundred seventy-nine thousand, seven hundred twenty-eight".