3393008640 has 528 divisors, whose sum is σ = 13723612032. Its totient is φ = 759103488.

The previous prime is 3393008629. The next prime is 3393008651. The reversal of 3393008640 is 468003933.

3393008640 is a `hidden beast` number, since 3 + 3 + 9 + 3 + 0 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3393008629) and next prime (3393008651).

It is a super-2 number, since 2×3393008640² = 23025015262229299200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3393008595 and 3393008604.

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, 21611442 + ... + 21611598.

Almost surely, 2^3393008640 is an apocalyptic number.

3393008640 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 3393008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861806016).

3393008640 is an abundant number, since it is smaller than the sum of its proper divisors (10330603392).

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

3393008640 is a wasteful number, since it uses less digits than its factorization.

3393008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

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

The square root of 3393008640 is about 58249.5376805688. The cubic root of 3393008640 is about 1502.6632153908.

The spelling of 3393008640 in words is "three billion, three hundred ninety-three million, eight thousand, six hundred forty".