3945684506400 has 4536 divisors, whose sum is σ = 19594357287120. Its totient is φ = 770339082240.

The previous prime is 3945684506369. The next prime is 3945684506429. The reversal of 3945684506400 is 46054865493.

3945684506400 is a `hidden beast` number, since 3 + 9 + 4 + 56 + 84 + 506 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 91760104779 + ... + 91760104821.

It is an arithmetic number, because the mean of its divisors is an integer number (4319743670).

Almost surely, 2^{3945684506400} is an apocalyptic number.

3945684506400 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 3945684506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797178643560).

3945684506400 is an abundant number, since it is smaller than the sum of its proper divisors (15648672780720).

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

3945684506400 is a wasteful number, since it uses less digits than its factorization.

3945684506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 3945684506400 in words is "three trillion, nine hundred forty-five billion, six hundred eighty-four million, five hundred six thousand, four hundred".