3870086950400 has 240 divisors, whose sum is σ = 10520648720208. Its totient is φ = 1399160832000.

The previous prime is 3870086950393. The next prime is 3870086950403. The reversal of 3870086950400 is 40596800783.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870086950403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24278960 + ... + 24437840.

Almost surely, 2^{3870086950400} 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 3870086950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260324360104).

3870086950400 is an abundant number, since it is smaller than the sum of its proper divisors (6650561769808).

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

3870086950400 is a wasteful number, since it uses less digits than its factorization.

3870086950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159093 (or 159072 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 3870086950400 in words is "three trillion, eight hundred seventy billion, eighty-six million, nine hundred fifty thousand, four hundred".