3742080 has 64 divisors (see below), whose sum is σ = 11934000. Its totient is φ = 997376.

The previous prime is 3742061. The next prime is 3742087. The reversal of 3742080 is 802473.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3742080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3742087) 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, 946 + ... + 2894.

Almost surely, 2^3742080 is an apocalyptic number.

3742080 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 3742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5967000).

3742080 is an abundant number, since it is smaller than the sum of its proper divisors (8191920).

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

3742080 is a wasteful number, since it uses less digits than its factorization.

3742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3742080 is about 1934.4456570294. The cubic root of 3742080 is about 155.2521736233.

The spelling of 3742080 in words is "three million, seven hundred forty-two thousand, eighty".