3786639480 has 192 divisors, whose sum is σ = 13386129120. Its totient is φ = 922752000.

The previous prime is 3786639473. The next prime is 3786639487. The reversal of 3786639480 is 849366873.

3786639480 is a `hidden beast` number, since 3 + 78 + 66 + 39 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3786639473) and next prime (3786639487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786639487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468675 + ... + 476685.

Almost surely, 2^3786639480 is an apocalyptic number.

3786639480 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 3786639480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693064560).

3786639480 is an abundant number, since it is smaller than the sum of its proper divisors (9599489640).

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

3786639480 is a wasteful number, since it uses less digits than its factorization.

3786639480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142 (or 8135 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3786639480 is about 61535.6764812089. The cubic root of 3786639480 is about 1558.6597463041.

The spelling of 3786639480 in words is "three billion, seven hundred eighty-six million, six hundred thirty-nine thousand, four hundred eighty".