3950069760 has 768 divisors, whose sum is σ = 17391628800. Its totient is φ = 828112896.

The previous prime is 3950069723. The next prime is 3950069789. The reversal of 3950069760 is 679600593.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3950069760² = 31206102217732915200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25159602 + ... + 25159758.

It is an arithmetic number, because the mean of its divisors is an integer number (22645350).

Almost surely, 2^3950069760 is an apocalyptic number.

3950069760 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 3950069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8695814400).

3950069760 is an abundant number, since it is smaller than the sum of its proper divisors (13441559040).

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

3950069760 is a wasteful number, since it uses less digits than its factorization.

3950069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 3950069760 is about 62849.5804281938. The cubic root of 3950069760 is about 1580.7684346279.

The spelling of 3950069760 in words is "three billion, nine hundred fifty million, sixty-nine thousand, seven hundred sixty".