3872280 has 96 divisors (see below), whose sum is σ = 12342960. Its totient is φ = 971520.

The previous prime is 3872273. The next prime is 3872287. The reversal of 3872280 is 822783.

It is an interprime number because it is at equal distance from previous prime (3872273) and next prime (3872287).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63450 + ... + 63510.

Almost surely, 2^3872280 is an apocalyptic number.

3872280 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 3872280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171480).

3872280 is an abundant number, since it is smaller than the sum of its proper divisors (8470680).

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

3872280 is a wasteful number, since it uses less digits than its factorization.

3872280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3872280 is about 1967.8109665311. The cubic root of 3872280 is about 157.0322732415.

The spelling of 3872280 in words is "three million, eight hundred seventy-two thousand, two hundred eighty".