3867513991200 has 216 divisors, whose sum is σ = 13639563480816. Its totient is φ = 1031205312000.

The previous prime is 3867513991199. The next prime is 3867513991219. The reversal of 3867513991200 is 21993157683.

3867513991200 is a `hidden beast` number, since 3 + 86 + 7 + 51 + 399 + 120 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64849395 + ... + 64909005.

It is an arithmetic number, because the mean of its divisors is an integer number (63146127226).

Almost surely, 2^{3867513991200} is an apocalyptic number.

3867513991200 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 3867513991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819781740408).

3867513991200 is an abundant number, since it is smaller than the sum of its proper divisors (9772049489616).

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

3867513991200 is a wasteful number, since it uses less digits than its factorization.

3867513991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68648 (or 68632 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 3867513991200 in words is "three trillion, eight hundred sixty-seven billion, five hundred thirteen million, nine hundred ninety-one thousand, two hundred".