3947719680 has 528 divisors, whose sum is σ = 15021377280. Its totient is φ = 991346688.

The previous prime is 3947719669. The next prime is 3947719703. The reversal of 3947719680 is 869177493.

It is a happy number.

3947719680 is a `hidden beast` number, since 3 + 9 + 477 + 1 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23638957 + ... + 23639123.

Almost surely, 2^3947719680 is an apocalyptic number.

3947719680 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 3947719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7510688640).

3947719680 is an abundant number, since it is smaller than the sum of its proper divisors (11073657600).

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

3947719680 is a wasteful number, since it uses less digits than its factorization.

3947719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3947719680 is about 62830.8815790452. The cubic root of 3947719680 is about 1580.4548815786.

The spelling of 3947719680 in words is "three billion, nine hundred forty-seven million, seven hundred nineteen thousand, six hundred eighty".