3384069120 has 528 divisors, whose sum is σ = 12752842752. Its totient is φ = 827228160.

The previous prime is 3384069109. The next prime is 3384069121. The reversal of 3384069120 is 219604833.

It is a super-2 number, since 2×3384069120² = 22903847617875148800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3384069121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32854989 + ... + 32855091.

Almost surely, 2^3384069120 is an apocalyptic number.

3384069120 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 3384069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6376421376).

3384069120 is an abundant number, since it is smaller than the sum of its proper divisors (9368773632).

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

3384069120 is a wasteful number, since it uses less digits than its factorization.

3384069120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

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

The square root of 3384069120 is about 58172.7523846001. The cubic root of 3384069120 is about 1501.3423716672.

The spelling of 3384069120 in words is "three billion, three hundred eighty-four million, sixty-nine thousand, one hundred twenty".