3746510815320 has 384 divisors, whose sum is σ = 15104060375040. Its totient is φ = 784247546880.

The previous prime is 3746510815319. The next prime is 3746510815387. The reversal of 3746510815320 is 235180156473.

It is a happy number.

3746510815320 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 5 + 108 + 1 + 532 + 0 = 666.

It is a super-2 number, since 2×3746510815320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 3710275 + ... + 4610765.

It is an arithmetic number, because the mean of its divisors is an integer number (39333490560).

Almost surely, 2^{3746510815320} is an apocalyptic number.

3746510815320 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 3746510815320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552030187520).

3746510815320 is an abundant number, since it is smaller than the sum of its proper divisors (11357549559720).

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

3746510815320 is a wasteful number, since it uses less digits than its factorization.

3746510815320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900655 (or 900648 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 3746510815320 in words is "three trillion, seven hundred forty-six billion, five hundred ten million, eight hundred fifteen thousand, three hundred twenty".