3738480 has 80 divisors (see below), whose sum is σ = 11930784. Its totient is φ = 967680.

The previous prime is 3738479. The next prime is 3738481. The reversal of 3738480 is 848373.

It is an interprime number because it is at equal distance from previous prime (3738479) and next prime (3738481).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8670 + ... + 9090.

Almost surely, 2^3738480 is an apocalyptic number.

3738480 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 3738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965392).

3738480 is an abundant number, since it is smaller than the sum of its proper divisors (8192304).

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

3738480 is a wasteful number, since it uses less digits than its factorization.

3738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3738480 is about 1933.5149339997. The cubic root of 3738480 is about 155.2023718063.

The spelling of 3738480 in words is "three million, seven hundred thirty-eight thousand, four hundred eighty".