3346579920 has 160 divisors (see below), whose sum is σ = 10746312192. Its totient is φ = 860944896.

The previous prime is 3346579913. The next prime is 3346579939. The reversal of 3346579920 is 299756433.

It is a happy number.

It is a super-2 number, since 2×3346579920² = 22399194321894412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3346579920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854607 + ... + 858513.

Almost surely, 2^3346579920 is an apocalyptic number.

3346579920 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 3346579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373156096).

3346579920 is an abundant number, since it is smaller than the sum of its proper divisors (7399732272).

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

3346579920 is a wasteful number, since it uses less digits than its factorization.

3346579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3346579920 is about 57849.6319780861. The cubic root of 3346579920 is about 1495.7777439652. Note that the first 4 decimals are identical.

The spelling of 3346579920 in words is "three billion, three hundred forty-six million, five hundred seventy-nine thousand, nine hundred twenty".