3780733501440 has 2856 divisors, whose sum is σ = 17638245441360. Its totient is φ = 770527199232.

The previous prime is 3780733501429. The next prime is 3780733501453. The reversal of 3780733501440 is 441053370873.

3780733501440 is a `hidden beast` number, since 3 + 78 + 0 + 7 + 33 + 501 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2856).

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 polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 198985973751 + ... + 198985973769.

Almost surely, 2^{3780733501440} is an apocalyptic number.

3780733501440 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 3780733501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819122720680).

3780733501440 is an abundant number, since it is smaller than the sum of its proper divisors (13857511939920).

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

3780733501440 is an frugal number, since it uses more digits than its factorization.

3780733501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3780733501440 in words is "three trillion, seven hundred eighty billion, seven hundred thirty-three million, five hundred one thousand, four hundred forty".