3865535049600 has 1152 divisors, whose sum is σ = 16627884184800. Its totient is φ = 874349199360.

The previous prime is 3865535049599. The next prime is 3865535049617. The reversal of 3865535049600 is 69405355683.

It is a happy number.

3865535049600 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 535 + 0 + 49 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3865535049600² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410654494 + ... + 410663906.

Almost surely, 2^{3865535049600} is an apocalyptic number.

3865535049600 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 3865535049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8313942092400).

3865535049600 is an abundant number, since it is smaller than the sum of its proper divisors (12762349135200).

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

3865535049600 is a wasteful number, since it uses less digits than its factorization.

3865535049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 3865535049600 in words is "three trillion, eight hundred sixty-five billion, five hundred thirty-five million, forty-nine thousand, six hundred".