3947209311136 has 576 divisors, whose sum is σ = 10526979843072. Its totient is φ = 1438724947968.

The previous prime is 3947209311109. The next prime is 3947209311137. The reversal of 3947209311136 is 6311139027493.

It is a super-2 number, since 2×3947209311136² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 3947209311136.

It is not an unprimeable number, because it can be changed into a prime (3947209311137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4573822641 + ... + 4573823503.

It is an arithmetic number, because the mean of its divisors is an integer number (18276006672).

Almost surely, 2^{3947209311136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3947209311136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263489921536).

3947209311136 is an abundant number, since it is smaller than the sum of its proper divisors (6579770531936).

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

3947209311136 is a wasteful number, since it uses less digits than its factorization.

3947209311136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 3947209311136 in words is "three trillion, nine hundred forty-seven billion, two hundred nine million, three hundred eleven thousand, one hundred thirty-six".