3732960 has 192 divisors, whose sum is σ = 14805504. Its totient is φ = 768000.

The previous prime is 3732931. The next prime is 3732961. The reversal of 3732960 is 692373.

It is a happy number.

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 (3732961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36910 + ... + 37010.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

Almost surely, 2^3732960 is an apocalyptic number.

3732960 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 3732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752).

3732960 is an abundant number, since it is smaller than the sum of its proper divisors (11072544).

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

3732960 is a wasteful number, since it uses less digits than its factorization.

3732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 3732960 is about 1932.0869545649. The cubic root of 3732960 is about 155.1259468871.

It can be divided in two parts, 373 and 2960, that added together give a palindrome (3333).

The spelling of 3732960 in words is "three million, seven hundred thirty-two thousand, nine hundred sixty".