3775680 has 224 divisors, whose sum is σ = 14630400. Its totient is φ = 912384.

The previous prime is 3775679. The next prime is 3775697. The reversal of 3775680 is 865773.

3775680 = T₃₁₁ + T₃₁₂ + ... + T₃₇₄.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164149 + ... + 164171.

Almost surely, 2^3775680 is an apocalyptic number.

3775680 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 3775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315200).

3775680 is an abundant number, since it is smaller than the sum of its proper divisors (10854720).

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

3775680 is a wasteful number, since it uses less digits than its factorization.

3775680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3775680 is about 1943.1109077971. The cubic root of 3775680 is about 155.7154576447.

The spelling of 3775680 in words is "three million, seven hundred seventy-five thousand, six hundred eighty".