3964378113100 has 108 divisors (see below), whose sum is σ = 8828463848400. Its totient is φ = 1545175462400.

The previous prime is 3964378113053. The next prime is 3964378113121. The reversal of 3964378113100 is 13118734693.

It is a super-2 number, since 2×3964378113100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141021846 + ... + 141049954.

Almost surely, 2^{3964378113100} 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 3964378113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414231924200).

3964378113100 is an abundant number, since it is smaller than the sum of its proper divisors (4864085735300).

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

3964378113100 is a wasteful number, since it uses less digits than its factorization.

3964378113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29044 (or 28996 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 3964378113100 in words is "three trillion, nine hundred sixty-four billion, three hundred seventy-eight million, one hundred thirteen thousand, one hundred".