3786108480 has 840 divisors, whose sum is σ = 17153997696. Its totient is φ = 783820800.

The previous prime is 3786108479. The next prime is 3786108481. The reversal of 3786108480 is 848016873.

It is an interprime number because it is at equal distance from previous prime (3786108479) and next prime (3786108481).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3786108481) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13970745 + ... + 13971015.

Almost surely, 2^3786108480 is an apocalyptic number.

3786108480 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 3786108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8576998848).

3786108480 is an abundant number, since it is smaller than the sum of its proper divisors (13367889216).

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

3786108480 is a wasteful number, since it uses less digits than its factorization.

3786108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3786108480 is about 61531.3617596750. The cubic root of 3786108480 is about 1558.5868860086.

The spelling of 3786108480 in words is "three billion, seven hundred eighty-six million, one hundred eight thousand, four hundred eighty".