3827705714400 has 72 divisors (see below), whose sum is σ = 12459182108184. Its totient is φ = 1020721523200.

The previous prime is 3827705714377. The next prime is 3827705714411. The reversal of 3827705714400 is 44175077283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3827705714400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797436291 + ... + 797441090.

It is an arithmetic number, because the mean of its divisors is an integer number (173044195947).

Almost surely, 2^{3827705714400} is an apocalyptic number.

3827705714400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3827705714400 is an abundant number, since it is smaller than the sum of its proper divisors (8631476393784).

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

3827705714400 is a wasteful number, since it uses less digits than its factorization.

3827705714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594877404 (or 1594877391 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 3827705714400 in words is "three trillion, eight hundred twenty-seven billion, seven hundred five million, seven hundred fourteen thousand, four hundred".