3145632 has 96 divisors (see below), whose sum is σ = 9805824. Its totient is φ = 864000.

The previous prime is 3145627. The next prime is 3145633. The reversal of 3145632 is 2365413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (3145633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20757 + ... + 20907.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

Almost surely, 2^3145632 is an apocalyptic number.

3145632 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 3145632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902912).

3145632 is an abundant number, since it is smaller than the sum of its proper divisors (6660192).

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

3145632 is a wasteful number, since it uses less digits than its factorization.

3145632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 3145632 is about 1773.5929634502. The cubic root of 3145632 is about 146.5219325183.

The spelling of 3145632 in words is "three million, one hundred forty-five thousand, six hundred thirty-two".