3864465137700 has 108 divisors (see below), whose sum is σ = 12119077610640. Its totient is φ = 1030002832320.

The previous prime is 3864465137693. The next prime is 3864465137707. The reversal of 3864465137700 is 77315644683.

It is a happy number.

3864465137700 is a `hidden beast` number, since 3 + 86 + 4 + 46 + 513 + 7 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3864465137693) and next prime (3864465137707).

It is a super-2 number, since 2×3864465137700² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3864465137707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696247 + ... + 2865953.

It is an arithmetic number, because the mean of its divisors is an integer number (112213681580).

Almost surely, 2^{3864465137700} is an apocalyptic number.

3864465137700 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 3864465137700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059538805320).

3864465137700 is an abundant number, since it is smaller than the sum of its proper divisors (8254612472940).

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

3864465137700 is a wasteful number, since it uses less digits than its factorization.

3864465137700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171706 (or 2171696 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

It can be divided in two parts, 3864 and 465137700, that added together give a palindrome (465141564).

The spelling of 3864465137700 in words is "three trillion, eight hundred sixty-four billion, four hundred sixty-five million, one hundred thirty-seven thousand, seven hundred".