3764880 has 200 divisors, whose sum is σ = 15124032. Its totient is φ = 850176.

The previous prime is 3764879. The next prime is 3764899. The reversal of 3764880 is 884673.

3764880 is a `hidden beast` number, since 3 + 7 + 648 + 8 + 0 = 666.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45319 + ... + 45401.

Almost surely, 2^3764880 is an apocalyptic number.

3764880 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 3764880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562016).

3764880 is an abundant number, since it is smaller than the sum of its proper divisors (11359152).

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

3764880 is a wasteful number, since it uses less digits than its factorization.

3764880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3764880 is about 1940.3298688625. The cubic root of 3764880 is about 155.5668457414.

Subtracting from 3764880 its product of nonzero digits (32256), we obtain a square (3732624 = 1932²).

The spelling of 3764880 in words is "three million, seven hundred sixty-four thousand, eight hundred eighty".