3857981400 has 480 divisors, whose sum is σ = 16497798240. Its totient is φ = 813680640.

The previous prime is 3857981381. The next prime is 3857981401. The reversal of 3857981400 is 41897583.

3857981400 is a `hidden beast` number, since 38 + 579 + 8 + 1 + 40 + 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 (3857981401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1472892 + ... + 1475508.

It is an arithmetic number, because the mean of its divisors is an integer number (34370413).

Almost surely, 2^3857981400 is an apocalyptic number.

3857981400 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 3857981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8248899120).

3857981400 is an abundant number, since it is smaller than the sum of its proper divisors (12639816840).

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

3857981400 is a wasteful number, since it uses less digits than its factorization.

3857981400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3857981400 is about 62112.6508853068. The cubic root of 3857981400 is about 1568.3875150697.

The spelling of 3857981400 in words is "three billion, eight hundred fifty-seven million, nine hundred eighty-one thousand, four hundred".