3388687104 has 144 divisors (see below), whose sum is σ = 9951500160. Its totient is φ = 1015111680.

The previous prime is 3388687087. The next prime is 3388687109. The reversal of 3388687104 is 4017868833.

It is a super-2 number, since 2×3388687104² = 22966400577631813632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3388687109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 749619 + ... + 754125.

It is an arithmetic number, because the mean of its divisors is an integer number (69107640).

Almost surely, 2^3388687104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388687104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975750080).

3388687104 is an abundant number, since it is smaller than the sum of its proper divisors (6562813056).

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

3388687104 is a wasteful number, since it uses less digits than its factorization.

3388687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4612 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 3388687104 is about 58212.4308374079. The cubic root of 3388687104 is about 1502.0249841737.

The spelling of 3388687104 in words is "three billion, three hundred eighty-eight million, six hundred eighty-seven thousand, one hundred four".