3625034311260 has 144 divisors (see below), whose sum is σ = 11577695744160. Its totient is φ = 915558819840.

The previous prime is 3625034311237. The next prime is 3625034311277. The reversal of 3625034311260 is 621134305263.

3625034311260 is a `hidden beast` number, since 3 + 6 + 2 + 50 + 34 + 311 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 13136464 + ... + 13409576.

It is an arithmetic number, because the mean of its divisors is an integer number (80400664890).

Almost surely, 2^{3625034311260} is an apocalyptic number.

3625034311260 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 3625034311260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788847872080).

3625034311260 is an abundant number, since it is smaller than the sum of its proper divisors (7952661432900).

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

3625034311260 is a wasteful number, since it uses less digits than its factorization.

3625034311260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277028 (or 277023 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3625034311260 in words is "three trillion, six hundred twenty-five billion, thirty-four million, three hundred eleven thousand, two hundred sixty".