3785773680 has 320 divisors, whose sum is σ = 14530320000. Its totient is φ = 899555328.

The previous prime is 3785773657. The next prime is 3785773697. The reversal of 3785773680 is 863775873.

3785773680 is a `hidden beast` number, since 3 + 7 + 8 + 577 + 3 + 68 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811996 + ... + 816644.

It is an arithmetic number, because the mean of its divisors is an integer number (45407250).

Almost surely, 2^3785773680 is an apocalyptic number.

3785773680 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 3785773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160000).

3785773680 is an abundant number, since it is smaller than the sum of its proper divisors (10744546320).

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

3785773680 is a wasteful number, since it uses less digits than its factorization.

3785773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 3785773680 is about 61528.6411356532. The cubic root of 3785773680 is about 1558.5409434729.

The spelling of 3785773680 in words is "three billion, seven hundred eighty-five million, seven hundred seventy-three thousand, six hundred eighty".