3860157100800 has 3888 divisors, whose sum is σ = 18745261059840. Its totient is φ = 678813696000.

The previous prime is 3860157100799. The next prime is 3860157100843. The reversal of 3860157100800 is 80017510683.

It is a super-2 number, since 2×3860157100800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 124521196785 + ... + 124521196815.

Almost surely, 2^{3860157100800} is an apocalyptic number.

3860157100800 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 3860157100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372630529920).

3860157100800 is an abundant number, since it is smaller than the sum of its proper divisors (14885103959040).

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

3860157100800 is a wasteful number, since it uses less digits than its factorization.

3860157100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 3860157100800 in words is "three trillion, eight hundred sixty billion, one hundred fifty-seven million, one hundred thousand, eight hundred".