3861495348480 has 2592 divisors, whose sum is σ = 18174084784128. Its totient is φ = 775460044800.

The previous prime is 3861495348443. The next prime is 3861495348517. The reversal of 3861495348480 is 848435941683.

3861495348480 is a `hidden beast` number, since 3 + 8 + 6 + 14 + 9 + 534 + 8 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3861495348443) and next prime (3861495348517).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×3861495348480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5197166989 + ... + 5197167731.

It is an arithmetic number, because the mean of its divisors is an integer number (7011606784).

Almost surely, 2^{3861495348480} is an apocalyptic number.

3861495348480 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 3861495348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087042392064).

3861495348480 is an abundant number, since it is smaller than the sum of its proper divisors (14312589435648).

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

3861495348480 is a wasteful number, since it uses less digits than its factorization.

3861495348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 3861495348480 in words is "three trillion, eight hundred sixty-one billion, four hundred ninety-five million, three hundred forty-eight thousand, four hundred eighty".