3870260533440 has 2352 divisors, whose sum is σ = 17182358726400. Its totient is φ = 812593741824.

The previous prime is 3870260533429. The next prime is 3870260533481. The reversal of 3870260533440 is 443350620783.

3870260533440 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 2 + 605 + 3 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27843600891 + ... + 27843601029.

Almost surely, 2^{3870260533440} is an apocalyptic number.

3870260533440 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 3870260533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591179363200).

3870260533440 is an abundant number, since it is smaller than the sum of its proper divisors (13312098192960).

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

3870260533440 is a wasteful number, since it uses less digits than its factorization.

3870260533440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3870260533440 in words is "three trillion, eight hundred seventy billion, two hundred sixty million, five hundred thirty-three thousand, four hundred forty".