3738389760 has 864 divisors, whose sum is σ = 16392160512. Its totient is φ = 796262400.

The previous prime is 3738389749. The next prime is 3738389791. The reversal of 3738389760 is 679838373.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 3738389697 and 3738389706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013710 + ... + 37013810.

It is an arithmetic number, because the mean of its divisors is an integer number (18972408).

Almost surely, 2^3738389760 is an apocalyptic number.

3738389760 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 3738389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196080256).

3738389760 is an abundant number, since it is smaller than the sum of its proper divisors (12653770752).

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

3738389760 is a wasteful number, since it uses less digits than its factorization.

3738389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3738389760 is about 61142.3728685762. The cubic root of 3738389760 is about 1552.0112303010.

The spelling of 3738389760 in words is "three billion, seven hundred thirty-eight million, three hundred eighty-nine thousand, seven hundred sixty".