3867034662400 has 960 divisors, whose sum is σ = 12566750676480. Its totient is φ = 1144376524800.

The previous prime is 3867034662377. The next prime is 3867034662443. The reversal of 3867034662400 is 42664307683.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3544485855 + ... + 3544486945.

It is an arithmetic number, because the mean of its divisors is an integer number (13090365288).

Almost surely, 2^{3867034662400} 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 3867034662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283375338240).

3867034662400 is an abundant number, since it is smaller than the sum of its proper divisors (8699716014080).

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

3867034662400 is a wasteful number, since it uses less digits than its factorization.

3867034662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 49.

The spelling of 3867034662400 in words is "three trillion, eight hundred sixty-seven billion, thirty-four million, six hundred sixty-two thousand, four hundred".