3425802240 has 384 divisors, whose sum is σ = 12737088000. Its totient is φ = 769916928.

The previous prime is 3425802221. The next prime is 3425802257. The reversal of 3425802240 is 422085243.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3425802240² = 23472241975178035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3425802198 and 3425802207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19138471 + ... + 19138649.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^3425802240 is an apocalyptic number.

3425802240 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 3425802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

3425802240 is an abundant number, since it is smaller than the sum of its proper divisors (9311285760).

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

3425802240 is a wasteful number, since it uses less digits than its factorization.

3425802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 3425802240 is about 58530.3531511642. The cubic root of 3425802240 is about 1507.4888073997.

Adding to 3425802240 its reverse (422085243), we get a palindrome (3847887483).

The spelling of 3425802240 in words is "three billion, four hundred twenty-five million, eight hundred two thousand, two hundred forty".