3856097700 has 432 divisors, whose sum is σ = 15014039040. Its totient is φ = 806077440.

The previous prime is 3856097681. The next prime is 3856097731. The reversal of 3856097700 is 77906583.

It is a happy number.

3856097700 is a `hidden beast` number, since 38 + 5 + 609 + 7 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 16134181 + ... + 16134419.

It is an arithmetic number, because the mean of its divisors is an integer number (34754720).

Almost surely, 2^3856097700 is an apocalyptic number.

3856097700 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 3856097700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507019520).

3856097700 is an abundant number, since it is smaller than the sum of its proper divisors (11157941340).

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

3856097700 is a wasteful number, since it uses less digits than its factorization.

3856097700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3856097700 is about 62097.4854563371. The cubic root of 3856097700 is about 1568.1322129466.

The spelling of 3856097700 in words is "three billion, eight hundred fifty-six million, ninety-seven thousand, seven hundred".