3727366004736 has 2016 divisors, whose sum is σ = 14060294277120. Its totient is φ = 974625177600.

The previous prime is 3727366004711. The next prime is 3727366004741. The reversal of 3727366004736 is 6374006637273.

It is a happy number.

3727366004736 is a `hidden beast` number, since 3 + 7 + 27 + 3 + 6 + 600 + 4 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×3727366004736² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120237613041 + ... + 120237613071.

It is an arithmetic number, because the mean of its divisors is an integer number (6974352320).

Almost surely, 2^{3727366004736} is an apocalyptic number.

3727366004736 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 3727366004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030147138560).

3727366004736 is an abundant number, since it is smaller than the sum of its proper divisors (10332928272384).

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

3727366004736 is a wasteful number, since it uses less digits than its factorization.

3727366004736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 54.

The spelling of 3727366004736 in words is "three trillion, seven hundred twenty-seven billion, three hundred sixty-six million, four thousand, seven hundred thirty-six".