3381820416 has 264 divisors, whose sum is σ = 10898064240. Its totient is φ = 1029832704.

The previous prime is 3381820399. The next prime is 3381820427. The reversal of 3381820416 is 6140281833.

It is a super-2 number, since 2×3381820416² = 22873418652148826112, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34864080 + ... + 34864176.

Almost surely, 2^3381820416 is an apocalyptic number.

3381820416 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 3381820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449032120).

3381820416 is an abundant number, since it is smaller than the sum of its proper divisors (7516243824).

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

3381820416 is an equidigital number, since it uses as much as digits as its factorization.

3381820416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3381820416 is about 58153.4213610859. The cubic root of 3381820416 is about 1501.0097521146.

The spelling of 3381820416 in words is "three billion, three hundred eighty-one million, eight hundred twenty thousand, four hundred sixteen".