3857776320 has 112 divisors (see below), whose sum is σ = 12269346048. Its totient is φ = 1026984960.

The previous prime is 3857776271. The next prime is 3857776333. The reversal of 3857776320 is 236777583.

It is a Cunningham number, because it is equal to 62111²-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3857776320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618015 + ... + 624225.

Almost surely, 2^3857776320 is an apocalyptic number.

3857776320 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 3857776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6134673024).

3857776320 is an abundant number, since it is smaller than the sum of its proper divisors (8411569728).

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

3857776320 is a wasteful number, since it uses less digits than its factorization.

3857776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878 (or 6868 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 3857776320 is about 62110.9999919499. Note that the first 5 decimals coincide. The cubic root of 3857776320 is about 1568.3597241450.

The spelling of 3857776320 in words is "three billion, eight hundred fifty-seven million, seven hundred seventy-six thousand, three hundred twenty".