3365853120 has 1008 divisors, whose sum is σ = 15123371328. Its totient is φ = 681246720.

The previous prime is 3365853089. The next prime is 3365853131. The reversal of 3365853120 is 213585633.

3365853120 is a `hidden beast` number, since 336 + 5 + 8 + 5 + 312 + 0 = 666.

3365853120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3365853120² = 22657934450827468800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 55177890 + ... + 55177950.

Almost surely, 2^3365853120 is an apocalyptic number.

3365853120 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 3365853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561685664).

3365853120 is an abundant number, since it is smaller than the sum of its proper divisors (11757518208).

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

3365853120 is a wasteful number, since it uses less digits than its factorization.

3365853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3365853120 is about 58015.9729729667. The cubic root of 3365853120 is about 1498.6436806348.

The spelling of 3365853120 in words is "three billion, three hundred sixty-five million, eight hundred fifty-three thousand, one hundred twenty".