3740672 has 44 divisors (see below), whose sum is σ = 8081556. Its totient is φ = 1720320.

The previous prime is 3740669. The next prime is 3740689. The reversal of 3740672 is 2760473.

It can be written as a sum of positive squares in 2 ways, for example, as 1478656 + 2262016 = 1216^2 + 1504^2 .

It is a super-3 number, since 3×3740672³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13172 + ... + 13452.

Almost surely, 2^3740672 is an apocalyptic number.

3740672 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 3740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4040778).

3740672 is an abundant number, since it is smaller than the sum of its proper divisors (4340884).

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

3740672 is a wasteful number, since it uses less digits than its factorization.

3740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 3740672 is about 1934.0816942415. The cubic root of 3740672 is about 155.2326993842.

The spelling of 3740672 in words is "three million, seven hundred forty thousand, six hundred seventy-two".