3859104072960 has 1728 divisors, whose sum is σ = 15226495764480. Its totient is φ = 933060280320.

The previous prime is 3859104072953. The next prime is 3859104072979. The reversal of 3859104072960 is 692704019583.

3859104072960 is a `hidden beast` number, since 3 + 8 + 591 + 0 + 40 + 7 + 2 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3859104072960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3859104072897 and 3859104072906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10346123334 + ... + 10346123706.

It is a 1-persistent number, because it is pandigital, but 2⋅3859104072960 = 7718208145920 is not.

Almost surely, 2^{3859104072960} is an apocalyptic number.

3859104072960 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 3859104072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7613247882240).

3859104072960 is an abundant number, since it is smaller than the sum of its proper divisors (11367391691520).

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

3859104072960 is a wasteful number, since it uses less digits than its factorization.

3859104072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3859104072960 in words is "three trillion, eight hundred fifty-nine billion, one hundred four million, seventy-two thousand, nine hundred sixty".