3386449920 has 448 divisors, whose sum is σ = 12884115456. Its totient is φ = 743178240.

The previous prime is 3386449903. The next prime is 3386449931. The reversal of 3386449920 is 299446833.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3386449920² = 22936086121336012800, 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 3386449920.

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, 26664897 + ... + 26665023.

Almost surely, 2^3386449920 is an apocalyptic number.

3386449920 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 3386449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442057728).

3386449920 is an abundant number, since it is smaller than the sum of its proper divisors (9497665536).

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

3386449920 is a wasteful number, since it uses less digits than its factorization.

3386449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3386449920 is about 58193.2119752811. The cubic root of 3386449920 is about 1501.6943697978.

The spelling of 3386449920 in words is "three billion, three hundred eighty-six million, four hundred forty-nine thousand, nine hundred twenty".