3859314513120 has 1152 divisors, whose sum is σ = 15619754465280. Its totient is φ = 882492641280.

The previous prime is 3859314513097. The next prime is 3859314513127. The reversal of 3859314513120 is 213154139583.

3859314513120 is a `hidden beast` number, since 3 + 8 + 5 + 9 + 3 + 1 + 4 + 513 + 120 = 666.

It is a super-2 number, since 2×3859314513120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3859314513127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6295781934 + ... + 6295782546.

It is an arithmetic number, because the mean of its divisors is an integer number (13558814640).

Almost surely, 2^{3859314513120} is an apocalyptic number.

3859314513120 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 3859314513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809877232640).

3859314513120 is an abundant number, since it is smaller than the sum of its proper divisors (11760439952160).

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

3859314513120 is a wasteful number, since it uses less digits than its factorization.

3859314513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 3859314513120 in words is "three trillion, eight hundred fifty-nine billion, three hundred fourteen million, five hundred thirteen thousand, one hundred twenty".