3801268713600 has 576 divisors, whose sum is σ = 14547183206400. Its totient is φ = 942194073600.

The previous prime is 3801268713569. The next prime is 3801268713623. The reversal of 3801268713600 is 63178621083.

3801268713600 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 26 + 8 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 28936065 + ... + 29067135.

It is an arithmetic number, because the mean of its divisors is an integer number (25255526400).

Almost surely, 2^{3801268713600} is an apocalyptic number.

3801268713600 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 3801268713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273591603200).

3801268713600 is an abundant number, since it is smaller than the sum of its proper divisors (10745914492800).

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

3801268713600 is a wasteful number, since it uses less digits than its factorization.

3801268713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131173 (or 131153 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3801268713600 in words is "three trillion, eight hundred one billion, two hundred sixty-eight million, seven hundred thirteen thousand, six hundred".