3735072739125 has 960 divisors, whose sum is σ = 9268182443520. Its totient is φ = 1465533388800.

The previous prime is 3735072739033. The next prime is 3735072739129. The reversal of 3735072739125 is 5219372705373.

3735072739125 is a `hidden beast` number, since 3 + 7 + 3 + 507 + 2 + 7 + 3 + 9 + 125 = 666.

It is not a de Polignac number, because 3735072739125 - 2⁸ = 3735072738869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735072739129) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 45000876334 + ... + 45000876416.

It is an arithmetic number, because the mean of its divisors is an integer number (9654356712).

Almost surely, 2^{3735072739125} is an apocalyptic number.

3735072739125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3735072739125 is an abundant number, since it is smaller than the sum of its proper divisors (5533109704395).

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

3735072739125 is an equidigital number, since it uses as much as digits as its factorization.

3735072739125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8334900, while the sum is 54.

The spelling of 3735072739125 in words is "three trillion, seven hundred thirty-five billion, seventy-two million, seven hundred thirty-nine thousand, one hundred twenty-five".