3730153810656 has 192 divisors, whose sum is σ = 12077307906048. Its totient is φ = 981650976768.

The previous prime is 3730153810651. The next prime is 3730153810697. The reversal of 3730153810656 is 6560183510373.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730153810651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3583660 + ... + 4505876.

It is an arithmetic number, because the mean of its divisors is an integer number (62902645344).

Almost surely, 2^{3730153810656} 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 3730153810656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038653953024).

3730153810656 is an abundant number, since it is smaller than the sum of its proper divisors (8347154095392).

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

3730153810656 is a wasteful number, since it uses less digits than its factorization.

3730153810656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922713 (or 922705 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 3730153810656 in words is "three trillion, seven hundred thirty billion, one hundred fifty-three million, eight hundred ten thousand, six hundred fifty-six".