3740172551136 has 1152 divisors, whose sum is σ = 13203800064000. Its totient is φ = 1002428421120.

The previous prime is 3740172551131. The next prime is 3740172551209. The reversal of 3740172551136 is 6311552710473.

3740172551136 is a `hidden beast` number, since 3 + 74 + 0 + 17 + 2 + 551 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3740172551091 and 3740172551100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740172551131) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 22945843791 + ... + 22945843953.

It is an arithmetic number, because the mean of its divisors is an integer number (11461632000).

Almost surely, 2^{3740172551136} is an apocalyptic number.

3740172551136 is a gapful number since it is divisible by the number (36) 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 3740172551136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601900032000).

3740172551136 is an abundant number, since it is smaller than the sum of its proper divisors (9463627512864).

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

3740172551136 is a wasteful number, since it uses less digits than its factorization.

3740172551136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 3740172551136 in words is "three trillion, seven hundred forty billion, one hundred seventy-two million, five hundred fifty-one thousand, one hundred thirty-six".