3950688000 has 288 divisors, whose sum is σ = 14999362560. Its totient is φ = 902860800.

The previous prime is 3950687959. The next prime is 3950688013. The reversal of 3950688000 is 8860593.

It is a self number, because there is not a number n which added to its sum of digits gives 3950688000.

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 31 ways as a sum of consecutive naturals, for example, 669061 + ... + 674939.

It is an arithmetic number, because the mean of its divisors is an integer number (52081120).

Almost surely, 2^3950688000 is an apocalyptic number.

3950688000 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 3950688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499681280).

3950688000 is an abundant number, since it is smaller than the sum of its proper divisors (11048674560).

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

3950688000 is an equidigital number, since it uses as much as digits as its factorization.

3950688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5920 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 3950688000 is about 62854.4986456817. The cubic root of 3950688000 is about 1580.8509009601.

The spelling of 3950688000 in words is "three billion, nine hundred fifty million, six hundred eighty-eight thousand".