3388104576 has 96 divisors (see below), whose sum is σ = 10064233920. Its totient is φ = 1092925440.

The previous prime is 3388104563. The next prime is 3388104589. The reversal of 3388104576 is 6754018833.

3388104576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3388104563) and next prime (3388104589).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3388104576² = 22958505235824279552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11725 + ... + 83148.

It is an arithmetic number, because the mean of its divisors is an integer number (104835770).

Almost surely, 2^3388104576 is an apocalyptic number.

3388104576 is a gapful number since it is divisible by the number (36) 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 3388104576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032116960).

3388104576 is an abundant number, since it is smaller than the sum of its proper divisors (6676129344).

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

3388104576 is a wasteful number, since it uses less digits than its factorization.

3388104576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94924 (or 94909 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3388104576 is about 58207.4271549602. The cubic root of 3388104576 is about 1501.9389113354.

The spelling of 3388104576 in words is "three billion, three hundred eighty-eight million, one hundred four thousand, five hundred seventy-six".