3479601138 has 256 divisors, whose sum is σ = 8825241600. Its totient is φ = 903260160.

The previous prime is 3479601133. The next prime is 3479601173. The reversal of 3479601138 is 8311069743.

It is a self number, because there is not a number n which added to its sum of digits gives 3479601138.

It is not an unprimeable number, because it can be changed into a prime (3479601133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39096598 + ... + 39096686.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^3479601138 is an apocalyptic number.

3479601138 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479601138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

3479601138 is an abundant number, since it is smaller than the sum of its proper divisors (5345640462).

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

3479601138 is a wasteful number, since it uses less digits than its factorization.

3479601138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 3479601138 is about 58988.1440460708. The cubic root of 3479601138 is about 1515.3390721204.

The spelling of 3479601138 in words is "three billion, four hundred seventy-nine million, six hundred one thousand, one hundred thirty-eight".