3786637680 has 640 divisors, whose sum is σ = 16070400000. Its totient is φ = 816915456.

The previous prime is 3786637669. The next prime is 3786637691. The reversal of 3786637680 is 867366873.

It is an interprime number because it is at equal distance from previous prime (3786637669) and next prime (3786637691).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14076586 + ... + 14076854.

It is an arithmetic number, because the mean of its divisors is an integer number (25110000).

Almost surely, 2^3786637680 is an apocalyptic number.

3786637680 is a gapful number since it is divisible by the number (30) 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 3786637680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200000).

3786637680 is an abundant number, since it is smaller than the sum of its proper divisors (12283762320).

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

3786637680 is a wasteful number, since it uses less digits than its factorization.

3786637680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3786637680 is about 61535.6618555452. The cubic root of 3786637680 is about 1558.6594993316.

The spelling of 3786637680 in words is "three billion, seven hundred eighty-six million, six hundred thirty-seven thousand, six hundred eighty".