3626152320 has 256 divisors, whose sum is σ = 13429140480. Its totient is φ = 815063040.

The previous prime is 3626152303. The next prime is 3626152339. The reversal of 3626152320 is 232516263.

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

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, 817629 + ... + 822051.

It is an arithmetic number, because the mean of its divisors is an integer number (52457580).

Almost surely, 2^3626152320 is an apocalyptic number.

3626152320 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 3626152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714570240).

3626152320 is an abundant number, since it is smaller than the sum of its proper divisors (9802988160).

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

3626152320 is a wasteful number, since it uses less digits than its factorization.

3626152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3626152320 is about 60217.5416303256. The cubic root of 3626152320 is about 1536.3211676503.

Adding to 3626152320 its reverse (232516263), we get a palindrome (3858668583).

The spelling of 3626152320 in words is "three billion, six hundred twenty-six million, one hundred fifty-two thousand, three hundred twenty".