3673848827376 has 640 divisors, whose sum is σ = 13980118548480. Its totient is φ = 896896281600.

The previous prime is 3673848827371. The next prime is 3673848827449. The reversal of 3673848827376 is 6737288483763.

3673848827376 is a `hidden beast` number, since 3 + 6 + 7 + 3 + 8 + 488 + 2 + 73 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673848827371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27963921 + ... + 28094991.

It is an arithmetic number, because the mean of its divisors is an integer number (21843935232).

Almost surely, 2^{3673848827376} is an apocalyptic number.

3673848827376 is a gapful number since it is divisible by the number (36) 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 3673848827376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990059274240).

3673848827376 is an abundant number, since it is smaller than the sum of its proper divisors (10306269721104).

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

3673848827376 is a wasteful number, since it uses less digits than its factorization.

3673848827376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131162 (or 131150 counting only the distinct ones).

The product of its digits is 1365590016, while the sum is 72.

The spelling of 3673848827376 in words is "three trillion, six hundred seventy-three billion, eight hundred forty-eight million, eight hundred twenty-seven thousand, three hundred seventy-six".