3788964432 has 160 divisors (see below), whose sum is σ = 12380636160. Its totient is φ = 1098218880.

The previous prime is 3788964419. The next prime is 3788964451. The reversal of 3788964432 is 2344698873.

3788964432 is a `hidden beast` number, since 3 + 78 + 89 + 64 + 432 = 666.

It is a super-2 number, since 2×3788964432² = 28712502933922165248, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91963 + ... + 126629.

It is an arithmetic number, because the mean of its divisors is an integer number (77378976).

Almost surely, 2^3788964432 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 3788964432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190318080).

3788964432 is an abundant number, since it is smaller than the sum of its proper divisors (8591671728).

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

3788964432 is a wasteful number, since it uses less digits than its factorization.

3788964432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34718 (or 34706 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 3788964432 is about 61554.5646723295. The cubic root of 3788964432 is about 1558.9786806088.

The spelling of 3788964432 in words is "three billion, seven hundred eighty-eight million, nine hundred sixty-four thousand, four hundred thirty-two".