3625680630 has 256 divisors, whose sum is σ = 10700605440. Its totient is φ = 774144000.

The previous prime is 3625680571. The next prime is 3625680631. The reversal of 3625680630 is 360865263.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625680631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18785814 + ... + 18786006.

It is an arithmetic number, because the mean of its divisors is an integer number (41799240).

Almost surely, 2^3625680630 is an apocalyptic number.

3625680630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3625680630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350302720).

3625680630 is an abundant number, since it is smaller than the sum of its proper divisors (7074924810).

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

3625680630 is a wasteful number, since it uses less digits than its factorization.

3625680630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3625680630 is about 60213.6249531616. The cubic root of 3625680630 is about 1536.2545498608.

It can be divided in two parts, 36256 and 80630, that added together give a triangular number (116886 = T₄₈₃).

The spelling of 3625680630 in words is "three billion, six hundred twenty-five million, six hundred eighty thousand, six hundred thirty".