3348776640 has 336 divisors, whose sum is σ = 11830726656. Its totient is φ = 801884160.

The previous prime is 3348776623. The next prime is 3348776729. The reversal of 3348776640 is 466778433.

It is a super-2 number, since 2×3348776640² = 22428609969219379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3348776640.

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, 14752207 + ... + 14752433.

It is an arithmetic number, because the mean of its divisors is an integer number (35210496).

Almost surely, 2^3348776640 is an apocalyptic number.

3348776640 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 3348776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915363328).

3348776640 is an abundant number, since it is smaller than the sum of its proper divisors (8481950016).

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

3348776640 is a wasteful number, since it uses less digits than its factorization.

3348776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 3348776640 is about 57868.6153281725. The cubic root of 3348776640 is about 1496.1049522678.

The spelling of 3348776640 in words is "three billion, three hundred forty-eight million, seven hundred seventy-six thousand, six hundred forty".