3368058120 has 288 divisors, whose sum is σ = 12791675520. Its totient is φ = 766321920.

The previous prime is 3368058103. The next prime is 3368058137. The reversal of 3368058120 is 218508633.

It is an interprime number because it is at equal distance from previous prime (3368058103) and next prime (3368058137).

It is a super-2 number, since 2×3368058120² = 22687630999395868800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 7602619 + ... + 7603061.

It is an arithmetic number, because the mean of its divisors is an integer number (44415540).

Almost surely, 2^3368058120 is an apocalyptic number.

3368058120 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 3368058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395837760).

3368058120 is an abundant number, since it is smaller than the sum of its proper divisors (9423617400).

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

3368058120 is a wasteful number, since it uses less digits than its factorization.

3368058120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3368058120 is about 58034.9732488954. The cubic root of 3368058120 is about 1498.9708674189.

The spelling of 3368058120 in words is "three billion, three hundred sixty-eight million, fifty-eight thousand, one hundred twenty".