3338828640 has 288 divisors, whose sum is σ = 13594664160. Its totient is φ = 763112448.

The previous prime is 3338828639. The next prime is 3338828653. The reversal of 3338828640 is 468288333.

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

It is a super-2 number, since 2×3338828640² = 22295553374568499200, which contains 22 as substring.

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

It is a congruent number.

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, 203794 + ... + 219566.

It is an arithmetic number, because the mean of its divisors is an integer number (47203695).

Almost surely, 2^3338828640 is an apocalyptic number.

3338828640 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 3338828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797332080).

3338828640 is an abundant number, since it is smaller than the sum of its proper divisors (10255835520).

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

3338828640 is a wasteful number, since it uses less digits than its factorization.

3338828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15811 (or 15790 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3338828640 is about 57782.5980724301. The cubic root of 3338828640 is about 1494.6220212736.

The spelling of 3338828640 in words is "three billion, three hundred thirty-eight million, eight hundred twenty-eight thousand, six hundred forty".