3817785960 has 320 divisors, whose sum is σ = 13358980800. Its totient is φ = 977163264.

The previous prime is 3817785947. The next prime is 3817785973. The reversal of 3817785960 is 695877183.

3817785960 is a `hidden beast` number, since 38 + 17 + 7 + 8 + 596 + 0 = 666.

3817785960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3817785947) and next prime (3817785973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3817785897 and 3817785906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9334236 + ... + 9334644.

It is an arithmetic number, because the mean of its divisors is an integer number (41746815).

Almost surely, 2^3817785960 is an apocalyptic number.

3817785960 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 3817785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6679490400).

3817785960 is an abundant number, since it is smaller than the sum of its proper divisors (9541194840).

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

3817785960 is a wasteful number, since it uses less digits than its factorization.

3817785960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3817785960 is about 61788.2348024282. The cubic root of 3817785960 is about 1562.9215959728.

The spelling of 3817785960 in words is "three billion, eight hundred seventeen million, seven hundred eighty-five thousand, nine hundred sixty".