3785836501440 has 392 divisors, whose sum is σ = 15447265645920. Its totient is φ = 865333684224.

The previous prime is 3785836501393. The next prime is 3785836501501. The reversal of 3785836501440 is 441056385873.

3785836501440 is a `hidden beast` number, since 3 + 7 + 8 + 583 + 6 + 5 + 0 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 473766 + ... + 2792154.

Almost surely, 2^{3785836501440} is an apocalyptic number.

3785836501440 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 3785836501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7723632822960).

3785836501440 is an abundant number, since it is smaller than the sum of its proper divisors (11661429144480).

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

3785836501440 is an equidigital number, since it uses as much as digits as its factorization.

3785836501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318431 (or 2318406 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3785836501440 in words is "three trillion, seven hundred eighty-five billion, eight hundred thirty-six million, five hundred one thousand, four hundred forty".