3738617856 has 240 divisors, whose sum is σ = 11543051520. Its totient is φ = 1204346880.

The previous prime is 3738617803. The next prime is 3738617879. The reversal of 3738617856 is 6587168373.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142165 + ... + 5142891.

It is an arithmetic number, because the mean of its divisors is an integer number (48096048).

Almost surely, 2^3738617856 is an apocalyptic number.

3738617856 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 3738617856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771525760).

3738617856 is an abundant number, since it is smaller than the sum of its proper divisors (7804433664).

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

3738617856 is an equidigital number, since it uses as much as digits as its factorization.

3738617856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 763 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 3738617856 is about 61144.2381259265. The cubic root of 3738617856 is about 1552.0427947246.

The spelling of 3738617856 in words is "three billion, seven hundred thirty-eight million, six hundred seventeen thousand, eight hundred fifty-six".