3901798129920 has 288 divisors, whose sum is σ = 12774489098112. Its totient is φ = 1014576316416.

The previous prime is 3901798129903. The next prime is 3901798129921. The reversal of 3901798129920 is 299218971093.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3901798129921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33114952 + ... + 33232568.

It is an arithmetic number, because the mean of its divisors is an integer number (44355864924).

Almost surely, 2^{3901798129920} is an apocalyptic number.

3901798129920 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 3901798129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6387244549056).

3901798129920 is an abundant number, since it is smaller than the sum of its proper divisors (8872690968192).

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

3901798129920 is a wasteful number, since it uses less digits than its factorization.

3901798129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117857 (or 117843 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The spelling of 3901798129920 in words is "three trillion, nine hundred one billion, seven hundred ninety-eight million, one hundred twenty-nine thousand, nine hundred twenty".