3897554760 has 448 divisors, whose sum is σ = 14873544000. Its totient is φ = 910103040.

The previous prime is 3897554743. The next prime is 3897554767. The reversal of 3897554760 is 674557983.

3897554760 is a `hidden beast` number, since 3 + 8 + 97 + 5 + 547 + 6 + 0 = 666.

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 = 3897554697 and 3897554706.

It is not an unprimeable number, because it can be changed into a prime (3897554767) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9301831 + ... + 9302249.

It is an arithmetic number, because the mean of its divisors is an integer number (33199875).

Almost surely, 2^3897554760 is an apocalyptic number.

3897554760 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 3897554760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436772000).

3897554760 is an abundant number, since it is smaller than the sum of its proper divisors (10975989240).

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

3897554760 is a wasteful number, since it uses less digits than its factorization.

3897554760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3897554760 is about 62430.3993259694. The cubic root of 3897554760 is about 1573.7318771948.

The spelling of 3897554760 in words is "three billion, eight hundred ninety-seven million, five hundred fifty-four thousand, seven hundred sixty".