3352779040 has 192 divisors, whose sum is σ = 8797082112. Its totient is φ = 1199923200.

The previous prime is 3352779037. The next prime is 3352779041. The reversal of 3352779040 is 409772533.

3352779040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3352779040⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3352778984 and 3352779002.

It is not an unprimeable number, because it can be changed into a prime (3352779041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10780485 + ... + 10780795.

It is an arithmetic number, because the mean of its divisors is an integer number (45818136).

Almost surely, 2^3352779040 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 3352779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398541056).

3352779040 is an abundant number, since it is smaller than the sum of its proper divisors (5444303072).

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

3352779040 is a wasteful number, since it uses less digits than its factorization.

3352779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 40.

The square root of 3352779040 is about 57903.1867862210. The cubic root of 3352779040 is about 1496.7007545660.

The spelling of 3352779040 in words is "three billion, three hundred fifty-two million, seven hundred seventy-nine thousand, forty".