3856249800 has 288 divisors, whose sum is σ = 14028268800. Its totient is φ = 943695360.

The previous prime is 3856249763. The next prime is 3856249807. The reversal of 3856249800 is 89426583.

3856249800 is a `hidden beast` number, since 3 + 8 + 562 + 4 + 9 + 80 + 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 not an unprimeable number, because it can be changed into a prime (3856249807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5217831 + ... + 5218569.

Almost surely, 2^3856249800 is an apocalyptic number.

3856249800 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 3856249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014134400).

3856249800 is an abundant number, since it is smaller than the sum of its proper divisors (10172019000).

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

3856249800 is a wasteful number, since it uses less digits than its factorization.

3856249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3856249800 is about 62098.7101315317. The cubic root of 3856249800 is about 1568.1528304890.

The spelling of 3856249800 in words is "three billion, eight hundred fifty-six million, two hundred forty-nine thousand, eight hundred".