3708672 has 72 divisors (see below), whose sum is σ = 10792320. Its totient is φ = 1121280.

The previous prime is 3708643. The next prime is 3708673. The reversal of 3708672 is 2768073.

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 (3708673) 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, 8229 + ... + 8667.

Almost surely, 2^3708672 is an apocalyptic number.

3708672 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 3708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396160).

3708672 is an abundant number, since it is smaller than the sum of its proper divisors (7083648).

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

3708672 is a wasteful number, since it uses less digits than its factorization.

3708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 3708672 is about 1925.7912659476. The cubic root of 3708672 is about 154.7887792413.

The spelling of 3708672 in words is "three million, seven hundred eight thousand, six hundred seventy-two".