3772560 has 80 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 913920.

The previous prime is 3772547. The next prime is 3772577. The reversal of 3772560 is 652773.

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

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

It is a d-powerful number, because it can be written as 3¹³ + 7³ + 7⁴ + 2²¹ + 5⁷ + 6³ + 0 .

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, 1926 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^3772560 is an apocalyptic number.

3772560 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 3772560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3772560 is an abundant number, since it is smaller than the sum of its proper divisors (8994480).

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

3772560 is a wasteful number, since it uses less digits than its factorization.

3772560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 3772560 is about 1942.3079055598. The cubic root of 3772560 is about 155.6725544581.

The spelling of 3772560 in words is "three million, seven hundred seventy-two thousand, five hundred sixty".