3786274840320 has 864 divisors, whose sum is σ = 15107143693824. Its totient is φ = 857640960000.

The previous prime is 3786274840319. The next prime is 3786274840321. The reversal of 3786274840320 is 230484726873.

It is a happy number.

3786274840320 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 274 + 8 + 40 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (3786274840319) and next prime (3786274840321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786274840321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5728100790 + ... + 5728101450.

It is an arithmetic number, because the mean of its divisors is an integer number (17485120016).

Almost surely, 2^{3786274840320} is an apocalyptic number.

3786274840320 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 3786274840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553571846912).

3786274840320 is an abundant number, since it is smaller than the sum of its proper divisors (11320868853504).

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

3786274840320 is a wasteful number, since it uses less digits than its factorization.

3786274840320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3786274840320 in words is "three trillion, seven hundred eighty-six billion, two hundred seventy-four million, eight hundred forty thousand, three hundred twenty".