3377809120 has 192 divisors, whose sum is σ = 9468144000. Its totient is φ = 1137991680.

The previous prime is 3377809109. The next prime is 3377809121. The reversal of 3377809120 is 219087733.

It is a super-2 number, since 2×3377809120² = 22819188902310348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3377809121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3347176 + ... + 3348184.

It is an arithmetic number, because the mean of its divisors is an integer number (49313250).

Almost surely, 2^3377809120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3377809120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734072000).

3377809120 is an abundant number, since it is smaller than the sum of its proper divisors (6090334880).

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

3377809120 is a wasteful number, since it uses less digits than its factorization.

3377809120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 3377809120 is about 58118.9222198760. The cubic root of 3377809120 is about 1500.4160505166.

The spelling of 3377809120 in words is "three billion, three hundred seventy-seven million, eight hundred nine thousand, one hundred twenty".