3368410920 has 400 divisors, whose sum is σ = 13238254260. Its totient is φ = 768144384.

The previous prime is 3368410861. The next prime is 3368410939. The reversal of 3368410920 is 290148633.

3368410920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3087580356 + 280830564 = 55566^2 + 16758^2 .

It is a super-2 number, since 2×3368410920² = 22692384251950492800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 7779024 + ... + 7779456.

Almost surely, 2^3368410920 is an apocalyptic number.

3368410920 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 3368410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619127130).

3368410920 is an abundant number, since it is smaller than the sum of its proper divisors (9869843340).

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

3368410920 is an equidigital number, since it uses as much as digits as its factorization.

3368410920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3368410920 is about 58038.0127158055. The cubic root of 3368410920 is about 1499.0232040512.

The spelling of 3368410920 in words is "three billion, three hundred sixty-eight million, four hundred ten thousand, nine hundred twenty".