3795406078464 has 2880 divisors, whose sum is σ = 16228507975680. Its totient is φ = 827714764800.

The previous prime is 3795406078441. The next prime is 3795406078481. The reversal of 3795406078464 is 4648706045973.

It is a happy number.

3795406078464 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 40 + 60 + 78 + 464 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29885087169 + ... + 29885087295.

Almost surely, 2^{3795406078464} 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 3795406078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8114253987840).

3795406078464 is an abundant number, since it is smaller than the sum of its proper divisors (12433101897216).

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

3795406078464 is a wasteful number, since it uses less digits than its factorization.

3795406078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3795406078464 in words is "three trillion, seven hundred ninety-five billion, four hundred six million, seventy-eight thousand, four hundred sixty-four".