3929954181120 has 1792 divisors, whose sum is σ = 16686942658560. Its totient is φ = 866333491200.

The previous prime is 3929954181113. The next prime is 3929954181149. The reversal of 3929954181120 is 211814599293.

It is a happy number.

3929954181120 is a `hidden beast` number, since 3 + 9 + 2 + 9 + 9 + 541 + 81 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6411017934 + ... + 6411018546.

Almost surely, 2^{3929954181120} is an apocalyptic number.

3929954181120 is a gapful number since it is divisible by the number (30) 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 3929954181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343471329280).

3929954181120 is an abundant number, since it is smaller than the sum of its proper divisors (12756988477440).

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

3929954181120 is a wasteful number, since it uses less digits than its factorization.

3929954181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 3929954181120 in words is "three trillion, nine hundred twenty-nine billion, nine hundred fifty-four million, one hundred eighty-one thousand, one hundred twenty".