3714561637416 has 384 divisors, whose sum is σ = 12224841108480. Its totient is φ = 996787150848.

The previous prime is 3714561637403. The next prime is 3714561637417. The reversal of 3714561637416 is 6147361654173.

3714561637416 is a `hidden beast` number, since 3 + 7 + 1 + 4 + 5 + 616 + 3 + 7 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (3714561637417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63952260 + ... + 64010316.

It is an arithmetic number, because the mean of its divisors is an integer number (31835523720).

Almost surely, 2^{3714561637416} is an apocalyptic number.

3714561637416 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 3714561637416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112420554240).

3714561637416 is an abundant number, since it is smaller than the sum of its proper divisors (8510279471064).

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

3714561637416 is a wasteful number, since it uses less digits than its factorization.

3714561637416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58233 (or 58226 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 3714561637416 in words is "three trillion, seven hundred fourteen billion, five hundred sixty-one million, six hundred thirty-seven thousand, four hundred sixteen".