3788677152 has 378 divisors, whose sum is σ = 12512988621. Its totient is φ = 1128142080.

The previous prime is 3788677147. The next prime is 3788677163. The reversal of 3788677152 is 2517768873.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3239431056 + 549246096 = 56916^2 + 23436^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=43524.

It is a super-2 number, since 2×3788677152² = 28708149124173662208, which contains 22 as substring.

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

Its product of digits (3951360) is a multiple of the sum of its prime divisors (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 122215377 + ... + 122215407.

Almost surely, 2^3788677152 is an apocalyptic number.

3788677152 is a gapful number since it is divisible by the number (32) 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 3788677152

3788677152 is an abundant number, since it is smaller than the sum of its proper divisors (8724311469).

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

3788677152 is an equidigital number, since it uses as much as digits as its factorization.

3788677152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 49 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 3788677152 is about 61552.2310887266. The cubic root of 3788677152 is about 1558.9392789268.

The spelling of 3788677152 in words is "three billion, seven hundred eighty-eight million, six hundred seventy-seven thousand, one hundred fifty-two".