3479838935552 has 160 divisors (see below), whose sum is σ = 8300668223232. Its totient is φ = 1424963764224.

The previous prime is 3479838935509. The next prime is 3479838935579. The reversal of 3479838935552 is 2555398389743.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77216258 + ... + 77261310.

Almost surely, 2^{3479838935552} is an apocalyptic number.

3479838935552 is a gapful number since it is divisible by the number (32) 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 3479838935552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150334111616).

3479838935552 is an abundant number, since it is smaller than the sum of its proper divisors (4820829287680).

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

3479838935552 is an equidigital number, since it uses as much as digits as its factorization.

3479838935552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46038 (or 46022 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 71.

The spelling of 3479838935552 in words is "three trillion, four hundred seventy-nine billion, eight hundred thirty-eight million, nine hundred thirty-five thousand, five hundred fifty-two".