3755136 has 128 divisors (see below), whose sum is σ = 12533760. Its totient is φ = 967680.

The previous prime is 3755117. The next prime is 3755137. The reversal of 3755136 is 6315573.

3755136 = 105² + 106² + ... + 231².

It is a tau number, because it is divible by the number of its divisors (128).

It is an Ulam number.

Its product of digits (9450) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3755137) 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, 29505 + ... + 29631.

It is an arithmetic number, because the mean of its divisors is an integer number (97920).

Almost surely, 2^3755136 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 3755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266880).

3755136 is an abundant number, since it is smaller than the sum of its proper divisors (8778624).

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

3755136 is a wasteful number, since it uses less digits than its factorization.

3755136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 3755136 is about 1937.8173288522. The cubic root of 3755136 is about 155.4325207021.

The spelling of 3755136 in words is "three million, seven hundred fifty-five thousand, one hundred thirty-six".