3949016134600 has 96 divisors (see below), whose sum is σ = 9442922567400. Its totient is φ = 1534744627200.

The previous prime is 3949016134541. The next prime is 3949016134619. The reversal of 3949016134600 is 64316109493.

It can be written as a sum of positive squares in 12 ways, for example, as 10307528676 + 3938708605924 = 101526^2 + 1984618^2 .

It is a super-2 number, since 2×3949016134600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4870260 + ... + 5622940.

Almost surely, 2^{3949016134600} 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 3949016134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721461283700).

3949016134600 is an abundant number, since it is smaller than the sum of its proper divisors (5493906432800).

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

3949016134600 is a wasteful number, since it uses less digits than its factorization.

3949016134600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753443 (or 753434 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 3949016134600 in words is "three trillion, nine hundred forty-nine billion, sixteen million, one hundred thirty-four thousand, six hundred".