3949305360 has 640 divisors, whose sum is σ = 17422884864. Its totient is φ = 712212480.

The previous prime is 3949305337. The next prime is 3949305383. The reversal of 3949305360 is 635039493.

3949305360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3949305337) and next prime (3949305383).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4083597 + ... + 4084563.

Almost surely, 2^3949305360 is an apocalyptic number.

3949305360 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 3949305360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711442432).

3949305360 is an abundant number, since it is smaller than the sum of its proper divisors (13473579504).

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

3949305360 is a wasteful number, since it uses less digits than its factorization.

3949305360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 3949305360 is about 62843.4989477830. The cubic root of 3949305360 is about 1580.6664602817. Note that the first 3 decimals are identical.

The spelling of 3949305360 in words is "three billion, nine hundred forty-nine million, three hundred five thousand, three hundred sixty".