3897417216 has 320 divisors, whose sum is σ = 13375143936. Its totient is φ = 978739200.

The previous prime is 3897417211. The next prime is 3897417241. The reversal of 3897417216 is 6127147983.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3897417211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3665901 + ... + 3666963.

Almost surely, 2^3897417216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3897417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687571968).

3897417216 is an abundant number, since it is smaller than the sum of its proper divisors (9477726720).

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

3897417216 is a wasteful number, since it uses less digits than its factorization.

3897417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1117 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 3897417216 is about 62429.2977375206. The cubic root of 3897417216 is about 1573.7133647396.

The spelling of 3897417216 in words is "three billion, eight hundred ninety-seven million, four hundred seventeen thousand, two hundred sixteen".