3730670125140 has 192 divisors, whose sum is σ = 12027418712064. Its totient is φ = 846361861632.

The previous prime is 3730670125109. The next prime is 3730670125141. The reversal of 3730670125140 is 415210760373.

It is a super-2 number, since 2×3730670125140² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730670125141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51788227 + ... + 51860213.

It is an arithmetic number, because the mean of its divisors is an integer number (62642805792).

Almost surely, 2^{3730670125140} is an apocalyptic number.

3730670125140 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 3730670125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013709356032).

3730670125140 is an abundant number, since it is smaller than the sum of its proper divisors (8296748586924).

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

3730670125140 is a wasteful number, since it uses less digits than its factorization.

3730670125140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72926 (or 72924 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The spelling of 3730670125140 in words is "three trillion, seven hundred thirty billion, six hundred seventy million, one hundred twenty-five thousand, one hundred forty".