3623257440 has 384 divisors, whose sum is σ = 14566003200. Its totient is φ = 831928320.

The previous prime is 3623257439. The next prime is 3623257483. The reversal of 3623257440 is 447523263.

3623257440 is a `hidden beast` number, since 3 + 623 + 25 + 7 + 4 + 4 + 0 = 666.

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 = 3623257395 and 3623257404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 900874 + ... + 904886.

It is an arithmetic number, because the mean of its divisors is an integer number (37932300).

Almost surely, 2^3623257440 is an apocalyptic number.

3623257440 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 3623257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7283001600).

3623257440 is an abundant number, since it is smaller than the sum of its proper divisors (10942745760).

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

3623257440 is a wasteful number, since it uses less digits than its factorization.

3623257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3623257440 is about 60193.4999813103. The cubic root of 3623257440 is about 1535.9122264297.

The spelling of 3623257440 in words is "three billion, six hundred twenty-three million, two hundred fifty-seven thousand, four hundred forty".