3752880 has 80 divisors (see below), whose sum is σ = 12261120. Its totient is φ = 946944.

The previous prime is 3752851. The next prime is 3752909. The reversal of 3752880 is 882573.

It is an interprime number because it is at equal distance from previous prime (3752851) and next prime (3752909).

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 4149 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (153264).

Almost surely, 2^3752880 is an apocalyptic number.

3752880 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 3752880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130560).

3752880 is an abundant number, since it is smaller than the sum of its proper divisors (8508240).

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

3752880 is a wasteful number, since it uses less digits than its factorization.

3752880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 3752880 is about 1937.2351431873. The cubic root of 3752880 is about 155.4013876963.

The spelling of 3752880 in words is "three million, seven hundred fifty-two thousand, eight hundred eighty".