3735778038525 has 288 divisors, whose sum is σ = 8105465467008. Its totient is φ = 1688723251200.

The previous prime is 3735778038493. The next prime is 3735778038529. The reversal of 3735778038525 is 5258308775373.

3735778038525 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 7 + 78 + 0 + 38 + 525 = 666.

It is not a de Polignac number, because 3735778038525 - 2⁵ = 3735778038493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735778038529) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55011642 + ... + 55079508.

It is an arithmetic number, because the mean of its divisors is an integer number (28143977316).

Almost surely, 2^{3735778038525} is an apocalyptic number.

It is an amenable number.

3735778038525 is an abundant number, since it is smaller than the sum of its proper divisors (4369687428483).

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

3735778038525 is a wasteful number, since it uses less digits than its factorization.

3735778038525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67963 (or 67946 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 3735778038525 in words is "three trillion, seven hundred thirty-five billion, seven hundred seventy-eight million, thirty-eight thousand, five hundred twenty-five".