3778480 has 40 divisors (see below), whose sum is σ = 8919072. Its totient is φ = 1488384.

The previous prime is 3778469. The next prime is 3778499. The reversal of 3778480 is 848773.

3778480 = 328² + 329² + ... + 359².

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3778480² = 28553822220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5517 + ... + 6163.

Almost surely, 2^3778480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3778480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459536).

3778480 is an abundant number, since it is smaller than the sum of its proper divisors (5140592).

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

3778480 is a wasteful number, since it uses less digits than its factorization.

3778480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 3778480 is about 1943.8312683975. The cubic root of 3778480 is about 155.7539403857.

The spelling of 3778480 in words is "three million, seven hundred seventy-eight thousand, four hundred eighty".