3725177764500 has 144 divisors (see below), whose sum is σ = 11756965252032. Its totient is φ = 992935166400.

The previous prime is 3725177764487. The next prime is 3725177764507. The reversal of 3725177764500 is 54677715273.

3725177764500 is a `hidden beast` number, since 3 + 7 + 2 + 5 + 1 + 7 + 77 + 64 + 500 = 666.

It is a super-3 number, since 3×3725177764500³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3725177764507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9908967 + ... + 10278033.

It is an arithmetic number, because the mean of its divisors is an integer number (81645592028).

Almost surely, 2^{3725177764500} is an apocalyptic number.

3725177764500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3725177764500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878482626016).

3725177764500 is an abundant number, since it is smaller than the sum of its proper divisors (8031787487532).

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

3725177764500 is a wasteful number, since it uses less digits than its factorization.

3725177764500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371335 (or 371320 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 3725177764500 in words is "three trillion, seven hundred twenty-five billion, one hundred seventy-seven million, seven hundred sixty-four thousand, five hundred".