3142752 has 48 divisors (see below), whose sum is σ = 8688960. Its totient is φ = 991872.

The previous prime is 3142751. The next prime is 3142757. The reversal of 3142752 is 2572413.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 963 + ... + 2685.

It is an arithmetic number, because the mean of its divisors is an integer number (181020).

Almost surely, 2^3142752 is an apocalyptic number.

3142752 is a gapful number since it is divisible by the number (32) 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 3142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344480).

3142752 is an abundant number, since it is smaller than the sum of its proper divisors (5546208).

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

3142752 is a wasteful number, since it uses less digits than its factorization.

3142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1747 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 3142752 is about 1772.7808663227. The cubic root of 3142752 is about 146.4772025548.

The spelling of 3142752 in words is "three million, one hundred forty-two thousand, seven hundred fifty-two".