3947138496 has 168 divisors, whose sum is σ = 13376269920. Its totient is φ = 1088833536.

The previous prime is 3947138473. The next prime is 3947138521. The reversal of 3947138496 is 6948317493.

It is a happy number.

3947138496 is a `hidden beast` number, since 3 + 9 + 471 + 3 + 84 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100050 + ... + 133806.

Almost surely, 2^3947138496 is an apocalyptic number.

3947138496 is a gapful number since it is divisible by the number (36) 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 3947138496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6688134960).

3947138496 is an abundant number, since it is smaller than the sum of its proper divisors (9429131424).

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

3947138496 is a wasteful number, since it uses less digits than its factorization.

3947138496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33811 (or 33798 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3947138496 is about 62826.2564219770. The cubic root of 3947138496 is about 1580.3773194884.

The spelling of 3947138496 in words is "three billion, nine hundred forty-seven million, one hundred thirty-eight thousand, four hundred ninety-six".