3786507648 has 896 divisors, whose sum is σ = 15411824640. Its totient is φ = 895795200.

The previous prime is 3786507589. The next prime is 3786507653. The reversal of 3786507648 is 8467056873.

3786507648 is a `hidden beast` number, since 3 + 78 + 6 + 507 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 3786507594 and 3786507603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 122145393 + ... + 122145423.

Almost surely, 2^3786507648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786507648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705912320).

3786507648 is an abundant number, since it is smaller than the sum of its proper divisors (11625316992).

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

3786507648 is a wasteful number, since it uses less digits than its factorization.

3786507648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 3786507648 is about 61534.6052884066. The cubic root of 3786507648 is about 1558.6416578278.

The spelling of 3786507648 in words is "three billion, seven hundred eighty-six million, five hundred seven thousand, six hundred forty-eight".