3866692515840 has 3024 divisors, whose sum is σ = 18240245052120. Its totient is φ = 777550233600.

The previous prime is 3866692515823. The next prime is 3866692515859. The reversal of 3866692515840 is 485152966683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×3866692515840² (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 251 ways as a sum of consecutive naturals, for example, 124732016625 + ... + 124732016655.

Almost surely, 2^{3866692515840} is an apocalyptic number.

3866692515840 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 3866692515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120122526060).

3866692515840 is an abundant number, since it is smaller than the sum of its proper divisors (14373552536280).

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

3866692515840 is an equidigital number, since it uses as much as digits as its factorization.

3866692515840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3866692515840 in words is "three trillion, eight hundred sixty-six billion, six hundred ninety-two million, five hundred fifteen thousand, eight hundred forty".