3788261637120 has 352 divisors, whose sum is σ = 13775907805440. Its totient is φ = 986708459520.

The previous prime is 3788261637103. The next prime is 3788261637133. The reversal of 3788261637120 is 217361628873.

It is a happy number.

3788261637120 is a `hidden beast` number, since 3 + 7 + 8 + 8 + 2 + 616 + 3 + 7 + 12 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5625675 + ... + 6262965.

It is an arithmetic number, because the mean of its divisors is an integer number (39136101720).

Almost surely, 2^{3788261637120} is an apocalyptic number.

3788261637120 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 3788261637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887953902720).

3788261637120 is an abundant number, since it is smaller than the sum of its proper divisors (9987646168320).

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

3788261637120 is a wasteful number, since it uses less digits than its factorization.

3788261637120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637368 (or 637344 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3788261637120 in words is "three trillion, seven hundred eighty-eight billion, two hundred sixty-one million, six hundred thirty-seven thousand, one hundred twenty".