3746897340552 has 256 divisors, whose sum is σ = 10900631808000. Its totient is φ = 1190266285824.

The previous prime is 3746897340503. The next prime is 3746897340577. The reversal of 3746897340552 is 2550437986473.

It is a happy number.

3746897340552 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 8 + 9 + 73 + 4 + 0 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3746897340552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006907123 + ... + 2006908989.

It is an arithmetic number, because the mean of its divisors is an integer number (42580593000).

Almost surely, 2^{3746897340552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746897340552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450315904000).

3746897340552 is an abundant number, since it is smaller than the sum of its proper divisors (7153734467448).

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

3746897340552 is a wasteful number, since it uses less digits than its factorization.

3746897340552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 3746897340552 in words is "three trillion, seven hundred forty-six billion, eight hundred ninety-seven million, three hundred forty thousand, five hundred fifty-two".