3386345760 has 288 divisors, whose sum is σ = 13634030592. Its totient is φ = 748984320.

The previous prime is 3386345731. The next prime is 3386345771. The reversal of 3386345760 is 675436833.

3386345760 is a `hidden beast` number, since 3 + 3 + 8 + 634 + 5 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3386345760² = 22934675212539955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307062 + ... + 317898.

It is an arithmetic number, because the mean of its divisors is an integer number (47340384).

Almost surely, 2^3386345760 is an apocalyptic number.

3386345760 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 3386345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817015296).

3386345760 is an abundant number, since it is smaller than the sum of its proper divisors (10247684832).

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

3386345760 is a wasteful number, since it uses less digits than its factorization.

3386345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10885 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3386345760 is about 58192.3170186581. The cubic root of 3386345760 is about 1501.6789733312.

The spelling of 3386345760 in words is "three billion, three hundred eighty-six million, three hundred forty-five thousand, seven hundred sixty".