3897265906240 has 224 divisors, whose sum is σ = 11034495811584. Its totient is φ = 1282917242880.

The previous prime is 3897265906231. The next prime is 3897265906327. The reversal of 3897265906240 is 426095627983.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8597919 + ... + 9039841.

It is an arithmetic number, because the mean of its divisors is an integer number (49261142016).

Almost surely, 2^{3897265906240} 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 3897265906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517247905792).

3897265906240 is an abundant number, since it is smaller than the sum of its proper divisors (7137229905344).

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

3897265906240 is a wasteful number, since it uses less digits than its factorization.

3897265906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442105 (or 442095 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 3897265906240 in words is "three trillion, eight hundred ninety-seven billion, two hundred sixty-five million, nine hundred six thousand, two hundred forty".