3765480 has 32 divisors (see below), whose sum is σ = 11296800. Its totient is φ = 1004096.

The previous prime is 3765457. The next prime is 3765493. The reversal of 3765480 is 845673.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 15570 + ... + 15809.

It is an arithmetic number, because the mean of its divisors is an integer number (353025).

Almost surely, 2^3765480 is an apocalyptic number.

3765480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3765480 is an abundant number, since it is smaller than the sum of its proper divisors (7531320).

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

3765480 is a wasteful number, since it uses less digits than its factorization.

3765480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31393 (or 31389 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 3765480 is about 1940.4844755885. The cubic root of 3765480 is about 155.5751094089.

The spelling of 3765480 in words is "three million, seven hundred sixty-five thousand, four hundred eighty".