3740603682816 has 1248 divisors, whose sum is σ = 14618149797888. Its totient is φ = 890009026560.

The previous prime is 3740603682757. The next prime is 3740603682857. The reversal of 3740603682816 is 6182863060473.

3740603682816 is a `hidden beast` number, since 3 + 7 + 4 + 0 + 603 + 6 + 8 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6162443985 + ... + 6162444591.

It is an arithmetic number, because the mean of its divisors is an integer number (11713261056).

Almost surely, 2^{3740603682816} is an apocalyptic number.

3740603682816 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 3740603682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309074898944).

3740603682816 is an abundant number, since it is smaller than the sum of its proper divisors (10877546115072).

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

3740603682816 is a wasteful number, since it uses less digits than its factorization.

3740603682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3740603682816 in words is "three trillion, seven hundred forty billion, six hundred three million, six hundred eighty-two thousand, eight hundred sixteen".