3735116 has 48 divisors (see below), whose sum is σ = 8316672. Its totient is φ = 1425600.

The previous prime is 3735101. The next prime is 3735119. The reversal of 3735116 is 6115373.

It is a happy number.

Its product of digits (1890) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (3735119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20546 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (173264).

Almost surely, 2^3735116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158336).

3735116 is an abundant number, since it is smaller than the sum of its proper divisors (4581556).

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

3735116 is a wasteful number, since it uses less digits than its factorization.

3735116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 268 counting only the distinct ones).

The product of its digits is 1890, while the sum is 26.

The square root of 3735116 is about 1932.6448199294. The cubic root of 3735116 is about 155.1558058706.

Multiplying 3735116 by its sum of digits (26), we get a triangular number (97113016 = T₁₃₉₃₆).

It can be divided in two parts, 37 and 35116, that added together give a palindrome (35153).

The spelling of 3735116 in words is "three million, seven hundred thirty-five thousand, one hundred sixteen".