3390003648 has 84 divisors (see below), whose sum is σ = 9763234728. Its totient is φ = 1124605440.

The previous prime is 3390003629. The next prime is 3390003679. The reversal of 3390003648 is 8463000933.

3390003648 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 0 + 0 + 3 + 648 = 666.

It is a super-2 number, since 2×3390003648² = 22984249466906615808, 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 11 ways as a sum of consecutive naturals, for example, 107590 + ... + 135482.

Almost surely, 2^3390003648 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 3390003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881617364).

3390003648 is an abundant number, since it is smaller than the sum of its proper divisors (6373231080).

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

3390003648 is a wasteful number, since it uses less digits than its factorization.

3390003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28122 (or 28109 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3390003648 is about 58223.7378394757. The cubic root of 3390003648 is about 1502.2194769948.

The spelling of 3390003648 in words is "three billion, three hundred ninety million, three thousand, six hundred forty-eight".