3479003136 has 420 divisors, whose sum is σ = 12203303508. Its totient is φ = 984711168.

The previous prime is 3479003111. The next prime is 3479003167. The reversal of 3479003136 is 6313009743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3479003136.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 32513995 + ... + 32514101.

Almost surely, 2^3479003136 is an apocalyptic number.

3479003136 is a gapful number since it is divisible by the number (36) 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 3479003136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101651754).

3479003136 is an abundant number, since it is smaller than the sum of its proper divisors (8724300372).

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

3479003136 is an equidigital number, since it uses as much as digits as its factorization.

3479003136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3479003136 is about 58983.0749961377. The cubic root of 3479003136 is about 1515.2522587495.

The spelling of 3479003136 in words is "three billion, four hundred seventy-nine million, three thousand, one hundred thirty-six".