3390884640 has 576 divisors, whose sum is σ = 14076720000. Its totient is φ = 757278720.

The previous prime is 3390884593. The next prime is 3390884681. The reversal of 3390884640 is 464880933.

It is a super-2 number, since 2×3390884640² = 22996197283575859200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6795111 + ... + 6795609.

It is an arithmetic number, because the mean of its divisors is an integer number (24438750).

Almost surely, 2^3390884640 is an apocalyptic number.

3390884640 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 3390884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7038360000).

3390884640 is an abundant number, since it is smaller than the sum of its proper divisors (10685835360).

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

3390884640 is a wasteful number, since it uses less digits than its factorization.

3390884640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3390884640 is about 58231.3029220539. The cubic root of 3390884640 is about 1502.3495976722.

The spelling of 3390884640 in words is "three billion, three hundred ninety million, eight hundred eighty-four thousand, six hundred forty".