3390567120 has 160 divisors (see below), whose sum is σ = 11697287040. Its totient is φ = 902707200.

The previous prime is 3390567077. The next prime is 3390567121. The reversal of 3390567120 is 217650933.

3390567120 is a `hidden beast` number, since 3 + 3 + 90 + 567 + 1 + 2 + 0 = 666.

3390567120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3390567120³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390567121) 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, 2593507 + ... + 2594813.

It is an arithmetic number, because the mean of its divisors is an integer number (73108044).

Almost surely, 2^3390567120 is an apocalyptic number.

3390567120 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 3390567120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848643520).

3390567120 is an abundant number, since it is smaller than the sum of its proper divisors (8306719920).

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

3390567120 is a wasteful number, since it uses less digits than its factorization.

3390567120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3390567120 is about 58228.5764895554. The cubic root of 3390567120 is about 1502.3027032297.

It can be divided in two parts, 33905 and 67120, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 3390567120 in words is "three billion, three hundred ninety million, five hundred sixty-seven thousand, one hundred twenty".