3479161920 has 224 divisors, whose sum is σ = 11982297600. Its totient is φ = 850206720.

The previous prime is 3479161831. The next prime is 3479161937. The reversal of 3479161920 is 291619743.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1858585 + ... + 1860455.

It is an arithmetic number, because the mean of its divisors is an integer number (53492400).

Almost surely, 2^3479161920 is an apocalyptic number.

3479161920 is a gapful number since it is divisible by the number (30) 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 3479161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3479161920 is an abundant number, since it is smaller than the sum of its proper divisors (8503135680).

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

3479161920 is a wasteful number, since it uses less digits than its factorization.

3479161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3479161920 is about 58984.4209940218. The cubic root of 3479161920 is about 1515.2753107700.

The spelling of 3479161920 in words is "three billion, four hundred seventy-nine million, one hundred sixty-one thousand, nine hundred twenty".