3386073600 has 1440 divisors, whose sum is σ = 16622686080. Its totient is φ = 637009920.

The previous prime is 3386073599. The next prime is 3386073623. The reversal of 3386073600 is 63706833.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3386073600² = 22930988849233920000, 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, 178214391 + ... + 178214409.

It is an arithmetic number, because the mean of its divisors is an integer number (11543532).

Almost surely, 2^3386073600 is an apocalyptic number.

3386073600 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 3386073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8311343040).

3386073600 is an abundant number, since it is smaller than the sum of its proper divisors (13236612480).

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

3386073600 is a wasteful number, since it uses less digits than its factorization.

3386073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3386073600 is about 58189.9785186419. The cubic root of 3386073600 is about 1501.6387423637.

The spelling of 3386073600 in words is "three billion, three hundred eighty-six million, seventy-three thousand, six hundred".