2946372 has 96 divisors (see below), whose sum is σ = 8636544. Its totient is φ = 768000.

The previous prime is 2946367. The next prime is 2946373. The reversal of 2946372 is 2736492.

2946372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2946372³ = 76733320288035812544, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29122 + ... + 29222.

It is an arithmetic number, because the mean of its divisors is an integer number (89964).

2^2946372 is an apocalyptic number.

2946372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a pronic number, being equal to 1716×1717.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318272).

2946372 is an abundant number, since it is smaller than the sum of its proper divisors (5690172).

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

2946372 is a wasteful number, since it uses less digits than its factorization.

2946372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2946372 is about 1716.4999271774. The cubic root of 2946372 is about 143.3603963081.

It can be divided in two parts, 294 and 6372, that added together give a palindrome (6666).

The spelling of 2946372 in words is "two million, nine hundred forty-six thousand, three hundred seventy-two".