3947730240 has 112 divisors (see below), whose sum is σ = 12825667008. Its totient is φ = 1028235264.

The previous prime is 3947730211. The next prime is 3947730271. The reversal of 3947730240 is 420377493.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537 + ... + 89096.

It is an arithmetic number, because the mean of its divisors is an integer number (114514884).

Almost surely, 2^3947730240 is an apocalyptic number.

3947730240 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 3947730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412833504).

3947730240 is an abundant number, since it is smaller than the sum of its proper divisors (8877936768).

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

3947730240 is a wasteful number, since it uses less digits than its factorization.

3947730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95696 (or 95686 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 3947730240 is about 62830.9656140983. The cubic root of 3947730240 is about 1580.4562907962.

The spelling of 3947730240 in words is "three billion, nine hundred forty-seven million, seven hundred thirty thousand, two hundred forty".