3380638464 has 288 divisors, whose sum is σ = 11549744640. Its totient is φ = 955404288.

The previous prime is 3380638451. The next prime is 3380638493. The reversal of 3380638464 is 4648360833.

3380638464 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 638 + 4 + 6 + 4 = 666.

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

It is a super-2 number, since 2×3380638464² = 22857432848552558592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176762 + ... + 5177414.

It is an arithmetic number, because the mean of its divisors is an integer number (40103280).

Almost surely, 2^3380638464 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 3380638464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774872320).

3380638464 is an abundant number, since it is smaller than the sum of its proper divisors (8169106176).

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

3380638464 is a wasteful number, since it uses less digits than its factorization.

3380638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3380638464 is about 58143.2581130435. The cubic root of 3380638464 is about 1500.8348632494.

The spelling of 3380638464 in words is "three billion, three hundred eighty million, six hundred thirty-eight thousand, four hundred sixty-four".