3896897760 has 288 divisors, whose sum is σ = 16092603072. Its totient is φ = 838287360.

The previous prime is 3896897759. The next prime is 3896897761. The reversal of 3896897760 is 677986983.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3896897759) and next prime (3896897761).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3896897761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159990 + ... + 182730.

It is an arithmetic number, because the mean of its divisors is an integer number (55877094).

Almost surely, 2^3896897760 is an apocalyptic number.

3896897760 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 3896897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046301536).

3896897760 is an abundant number, since it is smaller than the sum of its proper divisors (12195705312).

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

3896897760 is a wasteful number, since it uses less digits than its factorization.

3896897760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786 (or 22775 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The square root of 3896897760 is about 62425.1372445428. The cubic root of 3896897760 is about 1573.6434456860.

The spelling of 3896897760 in words is "three billion, eight hundred ninety-six million, eight hundred ninety-seven thousand, seven hundred sixty".