3897739440 has 240 divisors, whose sum is σ = 15514507008. Its totient is φ = 890880768.

The previous prime is 3897739427. The next prime is 3897739441. The reversal of 3897739440 is 449377983.

It is a tau number, because it is divible by the number of its divisors (240).

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 (3897739441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 121759 + ... + 150401.

Almost surely, 2^3897739440 is an apocalyptic number.

3897739440 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 3897739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757253504).

3897739440 is an abundant number, since it is smaller than the sum of its proper divisors (11616767568).

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

3897739440 is a wasteful number, since it uses less digits than its factorization.

3897739440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28678 (or 28660 counting only the distinct ones).

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

The square root of 3897739440 is about 62431.8783955761. The cubic root of 3897739440 is about 1573.7567331392.

The spelling of 3897739440 in words is "three billion, eight hundred ninety-seven million, seven hundred thirty-nine thousand, four hundred forty".