3950659440 has 640 divisors, whose sum is σ = 16998912000. Its totient is φ = 821145600.

The previous prime is 3950659421. The next prime is 3950659459. The reversal of 3950659440 is 449560593.

3950659440 is a `hidden beast` number, since 3 + 9 + 50 + 6 + 594 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3950659421) and next prime (3950659459).

It is a super-2 number, since 2×3950659440² = 31215420021722227200, which contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 19852461 + ... + 19852659.

It is an arithmetic number, because the mean of its divisors is an integer number (26560800).

Almost surely, 2^3950659440 is an apocalyptic number.

3950659440 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 3950659440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8499456000).

3950659440 is an abundant number, since it is smaller than the sum of its proper divisors (13048252560).

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

3950659440 is a wasteful number, since it uses less digits than its factorization.

3950659440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3950659440 is about 62854.2714538956. The cubic root of 3950659440 is about 1580.8470915636.

The spelling of 3950659440 in words is "three billion, nine hundred fifty million, six hundred fifty-nine thousand, four hundred forty".