3735461541 has 48 divisors (see below), whose sum is σ = 6147317760. Its totient is φ = 2006091360.

The previous prime is 3735461491. The next prime is 3735461573. The reversal of 3735461541 is 1451645373.

It is not a de Polignac number, because 3735461541 - 2⁷ = 3735461413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3735461541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735461641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349446 + ... + 359976.

It is an arithmetic number, because the mean of its divisors is an integer number (128069120).

Almost surely, 2^3735461541 is an apocalyptic number.

It is an amenable number.

3735461541 is a deficient number, since it is larger than the sum of its proper divisors (2411856219).

3735461541 is a wasteful number, since it uses less digits than its factorization.

3735461541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694 (or 10687 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 3735461541 is about 61118.4222718486. The cubic root of 3735461541 is about 1551.6059028598.

The spelling of 3735461541 in words is "three billion, seven hundred thirty-five million, four hundred sixty-one thousand, five hundred forty-one".