3338380638 has 96 divisors (see below), whose sum is σ = 7689007872. Its totient is φ = 1045094400.

The previous prime is 3338380613. The next prime is 3338380681. The reversal of 3338380638 is 8360838333.

3338380638 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 3 + 8 + 0 + 638 = 666.

It is a super-2 number, since 2×3338380638² = 22289570568346574088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3338380593 and 3338380602.

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, 7709670 + ... + 7710102.

It is an arithmetic number, because the mean of its divisors is an integer number (80093832).

Almost surely, 2^3338380638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338380638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844503936).

3338380638 is an abundant number, since it is smaller than the sum of its proper divisors (4350627234).

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

3338380638 is a wasteful number, since it uses less digits than its factorization.

3338380638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 3338380638 is about 57778.7213254153. The cubic root of 3338380638 is about 1494.5551691250. Note that the first 3 decimals are identical.

The spelling of 3338380638 in words is "three billion, three hundred thirty-eight million, three hundred eighty thousand, six hundred thirty-eight".