3381719040 has 312 divisors, whose sum is σ = 13401524448. Its totient is φ = 772669440.

The previous prime is 3381718997. The next prime is 3381719059. The reversal of 3381719040 is 409171833.

It is a happy number.

It is a super-2 number, since 2×3381719040² = 22872047330997043200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3381718986 and 3381719004.

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, 1288930 + ... + 1291550.

It is an arithmetic number, because the mean of its divisors is an integer number (42953604).

Almost surely, 2^3381719040 is an apocalyptic number.

3381719040 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 3381719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700762224).

3381719040 is an abundant number, since it is smaller than the sum of its proper divisors (10019805408).

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

3381719040 is a wasteful number, since it uses less digits than its factorization.

3381719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3381719040 is about 58152.5497291391. The cubic root of 3381719040 is about 1500.9947534978.

The spelling of 3381719040 in words is "three billion, three hundred eighty-one million, seven hundred nineteen thousand, forty".