3735645375 has 128 divisors (see below), whose sum is σ = 7899420672. Its totient is φ = 1522560000.

The previous prime is 3735645371. The next prime is 3735645377. The reversal of 3735645375 is 5735465373.

It is not a de Polignac number, because 3735645375 - 2² = 3735645371 is a prime.

Its product of digits (3969000) is a multiple of the sum of its prime divisors (2520).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735645371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1529155 + ... + 1531595.

It is an arithmetic number, because the mean of its divisors is an integer number (61714224).

Almost surely, 2^3735645375 is an apocalyptic number.

3735645375 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3735645375 is an abundant number, since it is smaller than the sum of its proper divisors (4163775297).

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

3735645375 is a wasteful number, since it uses less digits than its factorization.

3735645375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2520 counting only the distinct ones).

The product of its digits is 3969000, while the sum is 48.

The square root of 3735645375 is about 61119.9261697853. The cubic root of 3735645375 is about 1551.6313556039.

The spelling of 3735645375 in words is "three billion, seven hundred thirty-five million, six hundred forty-five thousand, three hundred seventy-five".