3738672 has 60 divisors (see below), whose sum is σ = 11961040. Its totient is φ = 1067904.

The previous prime is 3738661. The next prime is 3738701. The reversal of 3738672 is 2768373.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁸ + 7 + 3¹² + 8⁷ + 6⁷ + 7⁷ + 2⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847 + ... + 2862.

Almost surely, 2^3738672 is an apocalyptic number.

It is an amenable number.

3738672 is an abundant number, since it is smaller than the sum of its proper divisors (8222368).

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

3738672 is a wasteful number, since it uses less digits than its factorization.

3738672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3721 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3738672 is about 1933.5645838709. The cubic root of 3738672 is about 155.2050287101.

Subtracting from 3738672 its reverse (2768373), we obtain a cube (970299 = 99³).

It can be divided in two parts, 373 and 8672, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 3738672 in words is "three million, seven hundred thirty-eight thousand, six hundred seventy-two".