3980934496 has 96 divisors (see below), whose sum is σ = 9998892288. Its totient is φ = 1514903040.

The previous prime is 3980934491. The next prime is 3980934509. The reversal of 3980934496 is 6944390893.

It is a super-2 number, since 2×3980934496² = 31695678922885548032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980934491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87166 + ... + 124738.

It is an arithmetic number, because the mean of its divisors is an integer number (104155128).

Almost surely, 2^3980934496 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 3980934496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999446144).

3980934496 is an abundant number, since it is smaller than the sum of its proper divisors (6017957792).

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

3980934496 is a wasteful number, since it uses less digits than its factorization.

3980934496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37644 (or 37636 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The square root of 3980934496 is about 63094.6471263609. The cubic root of 3980934496 is about 1584.8749842187.

It can be divided in two parts, 39809 and 34496, that added together give a triangular number (74305 = T₃₈₅).

The spelling of 3980934496 in words is "three billion, nine hundred eighty million, nine hundred thirty-four thousand, four hundred ninety-six".