3396025440 has 240 divisors, whose sum is σ = 12507330528. Its totient is φ = 866156544.

The previous prime is 3396025429. The next prime is 3396025441. The reversal of 3396025440 is 445206933.

3396025440 is a `hidden beast` number, since 3 + 3 + 9 + 602 + 5 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3396025395 and 3396025404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396025441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292384 + ... + 303776.

Almost surely, 2^3396025440 is an apocalyptic number.

3396025440 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 3396025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253665264).

3396025440 is an abundant number, since it is smaller than the sum of its proper divisors (9111305088).

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

3396025440 is a wasteful number, since it uses less digits than its factorization.

3396025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11426 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3396025440 is about 58275.4274115600. The cubic root of 3396025440 is about 1503.1084339759.

The spelling of 3396025440 in words is "three billion, three hundred ninety-six million, twenty-five thousand, four hundred forty".