3730261521440 has 192 divisors, whose sum is σ = 9829592922240. Its totient is φ = 1329427169280.

The previous prime is 3730261521433. The next prime is 3730261521461. The reversal of 3730261521440 is 441251620373.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3730261521394 and 3730261521403.

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 31 ways as a sum of consecutive naturals, for example, 70930355 + ... + 70982925.

It is an arithmetic number, because the mean of its divisors is an integer number (51195796470).

Almost surely, 2^{3730261521440} 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 3730261521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914796461120).

3730261521440 is an abundant number, since it is smaller than the sum of its proper divisors (6099331400800).

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

3730261521440 is a wasteful number, since it uses less digits than its factorization.

3730261521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53995 (or 53987 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 3730261521440 in words is "three trillion, seven hundred thirty billion, two hundred sixty-one million, five hundred twenty-one thousand, four hundred forty".