3735120 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 978432.

The previous prime is 3735119. The next prime is 3735139. The reversal of 3735120 is 215373.

It is a happy number.

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

It is a super-2 number, since 2×3735120² = 27902242828800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18862 + ... + 19058.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^3735120 is an apocalyptic number.

3735120 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 3735120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

3735120 is an abundant number, since it is smaller than the sum of its proper divisors (8049840).

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

3735120 is a wasteful number, since it uses less digits than its factorization.

3735120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 3735120 is about 1932.6458547804. The cubic root of 3735120 is about 155.1558612569.

The spelling of 3735120 in words is "three million, seven hundred thirty-five thousand, one hundred twenty".