3950626680 has 768 divisors, whose sum is σ = 18177868800. Its totient is φ = 716636160.

The previous prime is 3950626679. The next prime is 3950626721. The reversal of 3950626680 is 866260593.

It is a happy number.

3950626680 is a `hidden beast` number, since 3 + 9 + 506 + 2 + 66 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6846552 + ... + 6847128.

It is an arithmetic number, because the mean of its divisors is an integer number (23669100).

Almost surely, 2^3950626680 is an apocalyptic number.

3950626680 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 3950626680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088934400).

3950626680 is an abundant number, since it is smaller than the sum of its proper divisors (14227242120).

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

3950626680 is a wasteful number, since it uses less digits than its factorization.

3950626680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3950626680 is about 62854.0108505416. The cubic root of 3950626680 is about 1580.8427219392.

The spelling of 3950626680 in words is "three billion, nine hundred fifty million, six hundred twenty-six thousand, six hundred eighty".