4738406688 has 120 divisors (see below), whose sum is σ = 13994730288. Its totient is φ = 1579258944.

The previous prime is 4738406683. The next prime is 4738406693. The reversal of 4738406688 is 8866048374.

It is an interprime number because it is at equal distance from previous prime (4738406683) and next prime (4738406693).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4738406681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 626095 + ... + 633617.

Almost surely, 2^4738406688 is an apocalyptic number.

4738406688 is a gapful number since it is divisible by the number (48) 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 4738406688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997365144).

4738406688 is an abundant number, since it is smaller than the sum of its proper divisors (9256323600).

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

4738406688 is an frugal number, since it uses more digits than its factorization.

4738406688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7560 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4738406688 is about 68836.0856528028. The cubic root of 4738406688 is about 1679.6189952317.

The spelling of 4738406688 in words is "four billion, seven hundred thirty-eight million, four hundred six thousand, six hundred eighty-eight".