3626025440 has 192 divisors, whose sum is σ = 9415647360. Its totient is φ = 1315184640.

The previous prime is 3626025401. The next prime is 3626025457. The reversal of 3626025440 is 445206263.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3626025397 and 3626025406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6509642 + ... + 6510198.

It is an arithmetic number, because the mean of its divisors is an integer number (49039830).

Almost surely, 2^3626025440 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 3626025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707823680).

3626025440 is an abundant number, since it is smaller than the sum of its proper divisors (5789621920).

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

3626025440 is a wasteful number, since it uses less digits than its factorization.

3626025440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3626025440 is about 60216.4881074943. The cubic root of 3626025440 is about 1536.3032486840.

The spelling of 3626025440 in words is "three billion, six hundred twenty-six million, twenty-five thousand, four hundred forty".