3897338760 has 256 divisors, whose sum is σ = 15249369600. Its totient is φ = 866681856.

The previous prime is 3897338713. The next prime is 3897338771. The reversal of 3897338760 is 678337983.

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 = 3897338697 and 3897338706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272754 + ... + 286686.

It is an arithmetic number, because the mean of its divisors is an integer number (59567850).

Almost surely, 2^3897338760 is an apocalyptic number.

3897338760 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 3897338760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7624684800).

3897338760 is an abundant number, since it is smaller than the sum of its proper divisors (11352030840).

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

3897338760 is a wasteful number, since it uses less digits than its factorization.

3897338760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13997 (or 13987 counting only the distinct ones).

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

The square root of 3897338760 is about 62428.6693755361. The cubic root of 3897338760 is about 1573.7028049187.

The spelling of 3897338760 in words is "three billion, eight hundred ninety-seven million, three hundred thirty-eight thousand, seven hundred sixty".